a ) study of the different amounts of time it takes water to evaporate completely.
i always end up helping u <3 lol
Answer: A . A study of the different amounts of time it takes water to evaporate completely
Explanation:
The quantitative data can be define as the property or parameter which can be measured in units and counted in numbers. It can be represented in symbols, units and number code.
A is the correct option this is because of the fact that time can be measured in seconds, minutes and hours. Thus different amounts of time it takes water to evaporate completely can be a approach to conduct the experiment using quantitative data.
When a ball is throw into the air , Its _____ energy is lowest at the top of its arc.
kinetic energy is the answer
A hornet circles around a pop can at constant speed once per second in a path with a 12-cm diameter. we can conclude that the hornet's wings must push on the air with force components that are
Since hornet is revolving with frequency 1 round per second
Time period of hornet is given by
[tex]T = 1 s[/tex]
Also the diameter of the circular path is 12 cm
so here we can say that its constant speed will be given as
[tex]v = \frac{2 \pi r}{T}[/tex]
[tex]v = \frac{2\pi * 0.06}{1}[/tex]
[tex]v = 0.377 m/s[/tex]
now the centripetal acceleration of the hornet is given as
[tex]a_c = \frac{v^2}{R}[/tex]
[tex]a_c = \frac{0.377^2}{0.06}[/tex]
[tex]a_c = 2.37 m/s^2[/tex]
so it will have its centripetal acceleration towards the pop as 2.37 m/s^2
so the force on its wing has two components one is towards the pop which will give the hornet centripetal acceleration while other component will counter balance the weight of the hornet
Answer:
down and backward
Moira is drawing the electric field lines around a pair of charges. One charge is positive, and the other charge is negative.
How should she draw the field lines?
a)away from each charge and meeting in the middle
b)away from each charge and curving away from one another
c)away from the positive charge and toward the negative charge
d)away from the negative charge and toward the positive charge
The best answer is B. If you curve them away, they have a less tendency to be attracted to the pair of charges and would stay around the pair instead of interacting with them.
Answer:
b
Explanation:
Which activity would be the best choice foir a lifelong fitness program
I think jogging/running/walking because you don't need any equipment and you can structure around it on your own time.
Answer:
I would say walking or running
Explanation:
Because its simple and you can choose your own pace
identify a coordinate system you could use to describe the motion of a girl swimming across a rectangular pool
If we imagine the rectangular pool to have a length L and a breadth b, the attached figure shows one of the several possible coordinate systems that can be used to locate the position of the girl at any point of time, thus enabling us to describe her motion.
Final answer:
A suitable coordinate system to describe a girl swimming across a rectangular pool is to use the long side as the x-axis and the short side as the y-axis. One can treat the swimmer's path as two-dimensional motion, analyzing her velocities in both x and y directions separately to predict her speed and swimming time.
Explanation:
To describe the motion of a girl swimming across a rectangular pool, we could set up a coordinate system by choosing the long side of the pool as the x-axis and the short side as the y-axis, with the origin (0,0) placed at one corner of the pool. If we observe the motion from above, we can treat the swimmer's path as two-dimensional motion.
In our coordinate system, the swimmer's position (x,y) changes over time as she swims across the pool. Since the pool is a controlled environment with no external forces like wind or currents, we can assume there's no acceleration in the horizontal x-direction (ax = 0). The swimmer might push off from one side of the pool to begin moving, in which case her initial horizontal velocity (Vx) could be constant throughout her swim if she maintains a steady pace.
To analyze the swimmer's motion, we would separately consider her velocity in the x-direction (Vx = v cos θ) and y-direction (Uy = v sin θ), where v is the magnitude of her velocity and θ is its direction relative to the x-axis. By mapping her position over time, we could use kinematic equations to predict her motion, such as her speed and the time taken to swim across the pool.
Nitrogen is used to protect steel from water because nitrogen has ________.
A.high reactivity
B.low conductivity
C.high conductivity
D.low reactivity
Answer:
Nitrogen is used to protect steel from water because nitrogen has low reactivity.
Explanation:
Nitrogen is very low reactive element because it forms a gas when triple bond between two Nitrogen atoms. Due to low reactivity of Nitrogen the water does not react with the nitrogen and steel as well. So, for protection of steel Nitrogen is used.
Ben and Jerry went for a drive. They decided to stop for a snack and have some ice cream. How fast did they drive on their way to the store?
A) 15 km/h
B) 30 km/h
C) 40 km/h
D) 60 km/h
Answer:
They are driving at the speed of 30 km/h
Explanation:
From the graph it is clear that,
Total distance covered by Ben and Jerry, d = 60 km
The distance of 60 km is covered in 2 hours.
We have to find how fast they drive on their way to the store i.e their speed. We know that,
[tex]speed=\dfrac{distance}{time}[/tex]
[tex]s=\dfrac{60\ km}{2\ h}[/tex]
[tex]s=30\ km/h[/tex]
Hence, the correct option is (B) " 30 km/h ".
Sarah wanted to know the velocity of an airplane traveling from Houston to Dallas. After recording the distance (in miles) and time (in hours) it took to travel to Dallas, what other measurement does Sarah need to determine the airplanes velocity?
A) acceleration
B) direction
C) force
D) inertia
Answer:
Option B is the correct answer.
Explanation:
Velocity of a body = Displacement of the body/Time taken
Displacement and velocity are a vector. Both have direction and magnitude.
Displacement is generally distance with direction.
If we divide distance with time taken we will get speed of the airplane. Speed with direction is called velocity. So we need distance between Houston and Dallas, time taken by plane to travel from Houston to Dallas and direction of displacement from Houston to Dallas.
So we need direction.
Option B is the correct answer.
A car has a mass of 900 kg and a truck has a mass of 1800 kg. In which of the following situations would they have the same momentum?
The car travels at twice the velocity of the truck.
The car and truck travel at the same velocity.
The truck has a negative acceleration.
The car has a positive acceleration.
a) since force = mass * acceleration
f= 900 * 0 (because constant speed = 0 acceleration)
similarly b) f = 0
Answer:
The car travels at twice the velocity of the truck.
Explanation:
As we know that momentum is defined as the product of mass and velocity
so here we know
mass of the car = 900 kg
mass of the truck = 1800 kg
now let say that the speed of car = [tex]v_1[/tex]
speed of truck = [tex]v_2[/tex]
so if the momentum of car and truck is same
[tex]900 v_1 = 1800 v_2[/tex]
[tex]v_1 = 2 v_2[/tex]
so we can say that car will move with double the speed of truck
we can determine the velocity of a wave when given the frequency and the
a. amplitude
b. Equilibrium
c. trough
d. wavelength
Hello.
The answer is: D. wavelength
This is correct because frequency x wavelength = speed
Have a nice day
Answer:
d. wavelength
Explanation:
The velocity of a wave is product of its wavelength and frequency. Frequency refers to the vibrations per second and wavelength is the distance between two successive troughs(highest point of wave) or crests(lowest point of wave). Since frequency is already given we need wavelength of the wave to find out its velocity. The velocity is independent of its amplitude (intensity).
What hypothesis best explains why tanning occurs?
here is my answer hope this helps you out allot UVA radiation is what makes people tan. It penetrates to the lower layers of the epidermis, where they trigger cells called melanocytes
Ron hits his golf ball but is disappointed when it doesn't follow the course to the left. What does Newton's First Law of Motion say about the travel of an object?
The golf ball will travel in a straight path unless changed by an external force.
Every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.
Hope you do well:)
As Jose develops a sense of industry (according to Erikson's theory), he will _____.
As Jose develops a sense of industry, he will feel confident in his abilities to achieve goals. According to Erikson's theory, there are 8 stage of psychological development of a human being. A child learn different ability in each stage of life. These 8 stage are:
Trust vs. Mistrust (age: 0- 1.5 yrs)Autonomy vs. Shame (age: 1.5- 3 yrs)Initiative vs. Guilt (age: 3-5 yrs)Industry vs. Inferiority (age: 5- 12 yrs)Identity vs. Role Confusion (age: 12- 18 yrs)Intimacy vs. Isolation (age: 18- 40 yrs)Generativity vs. Stagnation (age: 40- 65 yrs)Ego Integrity vs. Despair (age: 65+ yrs)So, between the age 5-12, a child possess stage of Industry vs. Inferiority. Industry means Competency or Successful in Skills. In contrary, Inferiority results due to failures. If a child is guided and encourage to learn, and praised by people, they develop a sense of pride or industry. But, if a child is not encourage or promote at this stage, a sense of inferiority develops.
What can we say about the rock as it falls to Earth?
A) It accelerates as it falls.
B) It falls at a constant rate of speed.
C) It is at a constant velocity as it falls.
D) It accelerates until it reaches a peak velocity, then decelerates.
7)
Which object is accelerating?
A) A lamp standing motionless on a desk.
B) A ball on a string whirled in a circle at a constant speed.
C) A car driving straight along a highway at a constant speed.
D) A humming bird hovering perfectly still in front of a flower.
8)
The difference between speed and velocity is that
A) speed is a vector and requires a direction.
B) speed is a vector and requires a magnitude.
C) velocity is a vector and requires a direction.
D) velocity is a vector and requires a magnitude.
9)
A unit of length in the metric system is the
A) kilogram.
B) kilometer.
C) liter.
D) milliliter.
10)
Which car is accelerating?
A) a car that is unmoving
B) a car that rounds a curve at a constant speed
C) a car that travels in straight line at a constant speed
D) a car that is set to a constant speed of 60 miles per hour
11)
A car starts from rest at a stop light and reaches 20 m/s in 3.5 s. Determine the acceleration of the car.
A) 3.5
m
s2
B) 5.7
m
s2
C) 20
m
s2
D) 70
m
s2
12)
You own a high speed digital camera that can take a picture every 0.5 seconds. You decide to take a picture every 0.5 seconds of your physics teacher as she drops a watermelon off the top of the school. After you develop and analyze the pictures, you realize that the distance the watermelon falls from the teacher in each new picture is
A) the same in each picture.
B) gradually less in each picture.
C) gradually more in each picture.
D) proportional to the mass of the watermelon.
13)
While running around the track at school, Milt notices that he runs due East on the 100m homestretch and due West on the 100m backstretch. To train for the 800m event, he runs both the 100m homestretch and the 100m backstretch in 12.2 seconds. How do Milt's velocities on the homestretch and backstretch compare?
A) The homestretch and backstretch have velocities with the same magnitude only.
B) The backstretch velocity is greater in magnitude than the homestretch velocity.
C) The home stretch velocity is greater in magnitude than the backstretch velocity.
D) The homestretch and the backstretch have velocities with the same direction and magnitude.
14)
Consider the average speed of a runner who jogs around a track four times. The distance (400m) remains constant for each lap. However, each lap is run 5 seconds slower than the first. The time for each lap increases. The average speed for each lap ______________. This is an example of a(n) _____________ relationship.
A) increases, direct
B) decreases, direct
C) increases, inverse
D) decreases, inverse
[1] When any body falls under gravity,the body will move in vertical downward direction towards the centre of earth under a constant acceleration called acceleration due to gravity .As per the question, the rock falls to earth.
Hence,the correct option to it is A] It accelerates as it falls.
7] When a body moves with constant speed in a circular path,it's direction changes continuously which leads to an acceleration.
Hence the correct answer to the question is C) A car driving straight along a highway at a constant speed.
8] Speed is a scalar quantity as it has only magnitude while velocity is a vector quantity as it has both magnitude and direction for its specification.
Hence,the correct answer to this question is C) velocity is a vector and requires a direction.
9]A unit of length in the metric system will be metre or its multiples.
Hence,the correct answer to the question is B) kilometer.
10] A car taking a round curve will experience an acceleration called centripetal acceleration which is required to keep the car along the circular curve.
Hence,the correct answer to the question is B) a car that rounds a curve at a constant speed
11]The initial velocity of car is u =0
The final velocity of car is v= 20 m/s
The time taken t= 3.5 s
From equation of kinematics we know that-
v=u+at
20=0×t+3.5a
[tex]a=\frac{20}{3.5} m/s^2[/tex]
[tex]a=5.71 m/s^2[/tex]
Hence,the correct answer to the question is B] 5.7.
12] Any body under free fall accelerates with acceleration due to gravity.
Hence,the correct answer to the question is C) gradually more in each picture.
13] Milt moves 100 m homestretch due east and 100 m backstretch due west.
The time taken by him is 12.2 seconds. The homestretch average velocity and backstretch average velocity are anti parallel to each other as they opposite in direction.
Hence the correct answer to the question will be the homestretch and backstretch have velocities with the same in their magnitude.
14]The distance given here is constant for each lap i.e 400 m.
It has been told that he is taking 5 seconds less in each lap.
We know that average speed is the ratio of total distance travelled to total time taken.As time is decreasing in each lap,so its average speed will be more for each lap.
Hence the correct answer to the question is C] increases and inversely.
The difference between speed and velocity is that
A) speed is a vector and requires a direction.
B) speed is a vector and requires a magnitude.
C) velocity is a vector and requires a direction.
D) velocity is a vector and requires a magnitude.
ryan is looking at investment opportunities as a cloud service provider. he wants to invest in a deployment-based cloud model that provides all services. which cloud computing model should he opt for?
a. community
b.communication
c.infrastructure
d.software
Answer : a. Community
Allows a system to be accessible by a group of organizations. It can be shared between several organizations. It may be managed by organizations or by the third party.
This should be chosen by Ryan, since this computing model is cost effective and best to share among companies and organizations.
Other options explained:
-Software model is accessible via a browser and multiple users can use it.
-Infrastructure model is based on providing services of computer architecture in a virtual environment
Answer:
A. CommunityExplanation:
The charge on a proton is
a.
negative, and the charge on an electron is positive.
b.
positive, and the charge on an electron is negative.
c.
the same as the charge on an electron.
d.
can change according to the situation.
Please select the best answer from the choices provided
A
B
C
D
Hello!
Second options is correct answer.
Explanation: The charge on a proton is a "positive, and the charge on an electron is negative". Hope this helps! Thank you for posting your question at here on Brainly. -Charlie
Which student correctly identifies a similarity and a difference between vector quantities and scalar quantities?
A) Adam
B) Binyam
C) Carlita
D) Dante
As per the question there are two physical quantities i.e scalar quantity and vector quantity.
A scalar is a physical quantity which requires only magnitude.It does not require any direction for it's complete specification.For instance we may take distance travelled,speed etc.
Unlike a scalar quantity,a vector quantity requires both magnitude as well as direction for it's complete specifications.For instance we may take displacement which is the shortest distance between two points,the velocity which is the speed in a given direction.
Hence a vector and scalar is differentiated by direction.
As per the question,the correct option will be the third option i.e C.
Carlita is right.As per her, both vector and scalar have magnitude,but only vectors have direction which is also true.
I WILL GIVE BRAINLIEST TO WHO ANSWERS CORRECTLY
What is it called when an object has forces acting on it, but has zero velocity and zero acceleration?
A. Normal equilibrium
B. Force equilibrium
C. Dynamic Equilibrium
D. Static equilibrium
Answer:
Static Equilibrium
Answer:
D. Static equilibrium
Explanation:
Jason makes a graphic organizer for insulators and conductors and wants to add the following labels to it.
Label 1: Lacks free electrons
Label 2: Aluminum
In which regions should Jason place each label?
A) Label 1: X
Label 2: Y
B) Label 1: Z
Label 2: X
C) Label 1: X
Label 2: Z
D) Label 1: Z
Label 2: Z
Jason should place the regions in:
C) Label 1: X
Label 2: Z
Answer: C) Label 1: X
Label 2: Z
Explanation: Conductors are those substances which conduct electrical current easily because of the presence of free electrons whereas Insulators do not conduct electrical current as they do not contain free electrons. Some common examples of conductors are copper, aluminum, gold, and silver. Some common examples of insulators are glass, air, plastic, rubber, and wood.
Label 1: Lacks free electrons must be placed in the area marked X as they correspond to insulators.
Label 2: Aluminum is an example of conductor and thus must be labelled in area marked by Z.
Area Y corresponds to semiconductors which have properties intermediate to conductors and insulators.
The man who discovered that even individual light particles have wave characteristics was:
Newton
Christian
Taylor
Planck
Answer:
Taylor
Explanation:
Taylor found that with either high- or low-intensity light, a typical diffraction pattern was formed. Long exposure times were needed to develop the diffraction bands; one of the exposures needed three months to complete. With a series of photographic plates, he showed that even individual light particles, photons, have wave characteristics.
Answer:
Explanation:
Taylor lol
A car travels 30.0 km to the south and then turns around and travels 20.0 km to the north in 1.5 hours time. What is the card total displacement ? What is the cars average velocity?
Displacement = distance and direction from start-point to end-point.
That's 10km south.
Velocity = displacement / time
That's 6.67... km/hr south.
A fisherman is fishing from a bridge and is using a "42.0-N test line." In other words, the line will sustain a maximum force of 42.0 N without breaking. What is the weight of the heaviest fish that can be pulled up vertically, when the line is reeled in (a) at constant speed and (b) with an acceleration whose magnitude is 1.41 m/s2?
Answer:
(a) 42 N
(b)36.7 N
Explanation:
Nomenclature
F= force test line (N)
W : fish weight (N)
Problem development
(a) Calculating of weight of the heaviest fish that can be pulled up vertically, when the line is reeled in at constant speed
We apply Newton's first law of equlibrio because the system moves at constant speed:
∑Fy =0
F-W= 0
42N -W =0
W = 42N
(b) Calculating of weight of the heaviest fish that can be pulled up vertically, when the line is reeled with an acceleration whose magnitude is 1.41 m/s²
We apply Newton's second law because the system moves at constant acceleration:
m= W/g , m= W/9.8 , m:fish mass , W: fish weight g:acceleration due to gravity
∑Fy =m*a
m= W/g , m= W/9.8 , m:fish mass , W: fish weight g:acceleration due to gravity
F-W= ( W/9.8 )*a
42-W= ( W/9.8 )*1.41
42= W+0.1439W
42=1.1439W
W= 42/1.1439
W= 36.7 N
When the fishing line is reeled in at constant speed, it can support a fish with a weight of 42.0 N. But when there's an upward acceleration of 1.41 m/s², the line can only support a fish with a weight of about 33.7 N.
Explanation:The subject in question here relates to the physics topic of forces, specifically concerning gravitational pull and tension. Now, let's address the two cases.
(a) When the fisherman reels in the line at a constant speed, there is no acceleration. Therefore, the tension in the line equals the weight of the fish. If the line can withstand a force of 42.0 N, the maximum weight of a fish that the line can support is the same—42.0 N (remember that weight is a force measured in Newtons [N]).
(b) If the fisherman is reeling in the line with an upward acceleration of 1.41 m/s2, the tension in the line will be the weight of the fish (m*g, where m is the mass of the fish and g is the gravity 9.8 m/s2) plus the result of the mass and acceleration of the fish (m*a). So, the tension T can be expressed as:
T = m*g + m*a
Since the maximum tension that the line can withstand is 42.0 N, we can determine the maximum mass fish that can be caught. Let's let the maximum mass be 'M'.
Therefore:
42.0 N = M * 9.8 m/s2 + M * 1.41 m/s2
After calculating this, you'll find that M ≈ 3.44 kg. However, we require the weight, which can be calculated by multiplying the mass by gravitational pull - hence, ≈ 3.44 kg * 9.8 m/s2 = ≈ 33.7 N.
In conclusion, under constant speed, the fisherman can pull up a fish of approximately 42.0 N, but when accelerating, the bridge fishing line can only support a fish of about 33.7 N without breaking.
Learn more about Force, Weight and Acceleration here:https://brainly.com/question/15062582
#SPJ3
uppose you have a container filled with iron and sand. You can separate the iron from the sand if you ____________ so this is a _________.
If your parents were going through a divorce and you needed to talk to someone, who would be the best professional to see?Clinical psychologistcounseling psychologistsocial psychologistdevelopmental psychologist
psychologist counseling would be the correct answer I believe
Answer:
Clinical psychologist counseling.
Explanation:
Divorce is very difficult time for any family and for the children. Divorcing spouse can be benefited by the psychologist or mental health professional at that difficult time.
It is very helpful for the spouse and children to talk about relations as well as emotions at that time. This will give the person a very effective way to deal up the situation, anger and frustration.
2. A truck speeds up from a velocity of 6 m/s to 14 m/s in 4 seconds. What is the trucks acceleration? SHOW YOUR WORK
3. A car starts from rest and reaches 15 m/s in 2.5 seconds. What is the acceleration of he car? SHOW YOUR WORK
4. A resident throws a bag of full trash over the balcony of their third floor apartment. What happened to the distance between the jumper and the bridge in each picture taken? PLEASE SHOW YOUR WORK
#2
As it is given here
initial speed is
[tex]v_i = 6 m/s[/tex]
After 4 seconds the final speed is
[tex]v_f = 14 m/s[/tex]
so here we can use the formula of acceleration using kinematics
[tex]a = \frac{v_f - v_i}{t}[/tex]
[tex]a = \frac{14 - 6}{4}[/tex]
[tex]a = 2 m/s^2[/tex]
so here it will accelerate at 2 m/s^2 rate.
#3
As it is given here
initial it starts from rest
[tex]v_i = 0 m/s[/tex]
After 2.5 seconds the final speed is
[tex]v_f = 15 m/s[/tex]
so here we can use the formula of acceleration using kinematics
[tex]a = \frac{v_f - v_i}{t}[/tex]
[tex]a = \frac{15 - 0}{2.5}[/tex]
[tex]a = 6 m/s^2[/tex]
so here it will accelerate at 6 m/s^2 rate.
#4
i think question is not correct as in first line it is saying about a bag of trash and then in next line it is asking for the position of Jumper and bridge.
The largest number of neurons within the brain and spinal cord are responsible for the central nervous system's complex internal communications and intervene between inputs and outputs. These are the _____.
Answer: Interneurons.
These interneurons transmit impulses to other neurons and thus form a part of the reflux arc.
Larry and Balky set up an experiment to analyze the motion of a marble as it rolled down an incline. They started the marble at the top of the ramp and set up photogates to collect data as the marble rolled down the ramp. Which graph format would allow Larry and Balky to calculate instantaneous velocity using slope? A) Velocity on the y-axis, time on the x-axis B) Distance on the y-axis, time on the x-axis C) Time on the y-axis, distance on the x-axis D) Velocity on the y-axis, distance on the x-axis
Answer:
Option B
Explanation:
The instantaneous velocity = Change in position/Time taken
The slope of the graph should give instantaneous velocity.
Slope of a graph = Change in value of Y -axis / Change in values of X -axis
Comparing both the equations
Change in value of Y -axis = Change in position
Change in values of X -axis = Time taken
So position values should be on the Y axis and Time values should be on the X axis.
Distance on the y-axis and time on the x-axis.
So, option B is the correct answer.
Answer:
A
Explanation:
slope is calculated using rise over run
Assume that a coffee maker, a vacuum cleaner, a toaster, and an electric drill were all used for one hour. Which uses the most energy in that time?
The answer is: A toaster
As we have four different equipment then for house hold system we know the default power of all
Coffee maker = 1400 W
Vacuum Cleaner = 700 W
Toaster = 1800 W
Electric Drill = 1000 W
now the energy consumed will be given as
[tex] Energy = Power * time[/tex]
here time is same for all that is for 1 hour we used all components
so here maximum energy will be consumed by the component which will have maximum power
So answer must be Toaster which is having maximum power of 1800 W
Constants Modern wind turbines are larger than they appear, and despite their apparently lazy motion, the speed of the blades tips can be quite high-many times higher than the wind speed. A turbine has blades 58 m long that spin at 14 rpm . At the tip of a blade, what is the centripetal acceleration?
It is given that the length of blade of the turbine is 58 m.
During the motion, the turbine will undergo rotational motion. Hence the radius of the circle traced by the turbine is equal to the length of the blade.
Hence radius r = 58 m.
The frequency of the turbine [f] =14 rpm.
Here rpm stands for rotation per minute.
Hence the frequency of the turbine in one second-
[tex]f=\frac{14}{60}\ s^-1[/tex]
[tex]f=0.23333 Hz[/tex]
Here Hz[ hertz] is the unit of frequency.
The angular velocity of the turbine [tex]\omega =2\pi f[/tex]
[tex]\omega=2*3.14*0.2333[/tex]
[tex]\omega=1.465124[/tex] radian/second
Now we have to calculate the centripetal acceleration of the blade.
Let the linear velocity of the blade is v.
we know that linear velocity v=ωr
The centripetal acceleration is calculated as-
[tex]a_{c} =\frac{v^2}{r}[/tex]
[tex]=\frac{[\omega r]^2}{r}[/tex]
[tex]=\omega^2r[/tex]
[tex]=[1.465124]^2 *58[/tex]
[tex]=124.5021234 m/s^2[/tex] [ans]
Centripetal acceleration depends on the rotational speed of object. The required value of the centripetal acceleration of the wind turbine blade is [tex]125.33 \;\rm rad/s^{2}[/tex].
What is centripetal acceleration?The magnitude of acceleration possessed by any object with rotational motion, such that the direction of acceleration is towards the center, then such acceleration is called centripetal acceleration.
Given data-
The length of the turbine blade is, r = 58 m.
The angular speed of blade is, N = 14 rpm.
Convert the angular speed into rad/s as,
[tex]\omega = \dfrac{2 \pi N}{60}\\\\\\\omega = \dfrac{2 \pi \times 14}{60}\\\\\omega =1.47 rad/s[/tex]
And the expression for the angular acceleration is given as,
[tex]\alpha = \omega^{2} \times r[/tex]
Solving as,
[tex]\alpha = 1.47^{2} \times 58\\\\\alpha =125.33 \;\rm rad/s^{2}[/tex]
Thus, we can conclude that the required value of the centripetal acceleration of wind turbine blade is [tex]125.33 \;\rm rad/s^{2}[/tex].
Learn more about the centripetal acceleration here:
https://brainly.com/question/17689540
Which of the following quantities can be determined from a speed-time graph of a particle travelling in a straight line?
a. only the magnitude of the acceleration at a given instant
b. both the velocity and acceleration at a given point
c. only distance travelled in a given timed.
d. both distance in a given time and magnitude of the acceleration at a given instant
The answer is:
Both the distance traveled in a given time and the magnitude of the acceleration at a given instant
Hope I Helped!
Both distances in a given time and magnitude of the acceleration at a given instant can be determined from a speed-time graph of a particle traveling in a straight line, therefore the correct option is option D.
What are the three equations of motion?There are three equations of motion given by Newton
The first equation is given as follows
v = u + at
the second equation is given as follows
S = ut + 1/2×a×t²
the third equation is given as follows
v² - u² = 2×a×s
The area under the speed-time graph represents the distance covered by the object while the slope of the speed-time graph gives the acceleration of the object.
Thus, both distances in a given time and the magnitude of the acceleration at a given instant can be determined from a speed-time graph of a particle traveling in a straight line, therefore the correct option is option D.
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