Circular motion: Speed, velocity for car on a semi-circular path

In summary, the conversation discusses the difference between average velocity and average speed, and how to compute them in the context of a car moving along a semicircular path. The average velocity is found to be 10 m/s, while the average speed is 16 m/s. It is noted that velocity is a vector quantity with direction, while speed is a scalar quantity. The correct methods for computing average velocity and average speed are also clarified.
  • #1
MPZ
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Homework Statement


A car moves from X to Y along a semicircular path. The radius of the path is 250 m and the time taken to complete the trip is 50 s.
What is the magnitude of the average velocity and the magnitude of the average speed?

can you please explain? <3

Homework Equations


v = wr = 2π r/ T , a = v^2/r
T: period

The Attempt at a Solution


I figured out that the average velocity is 10 m/s , but why is the average speed 16 m/s
 
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  • #2
What is the difference between velocity and speed?

Also, speed and velocity are measured in m/s. The unit m/s^2 is used for acceleration.
 
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  • #3
Orodruin said:
What is the difference between velocity and speed?

Also, speed and velocity are measured in m/s. The unit m/s^2 is used for acceleration.

velocity is a vector (with direction) while speed is a scalar , also i will fix the unit now
 
  • #4
MPZ said:
velocity is a vector (with direction) while speed is a scalar , also i will fix the unit now

So how would you compute the average speed and the average velocity, respectively?
 
  • #5
Orodruin said:
So how would you compute the average speed and the average velocity, respectively?
average velocity using v = wr , average speed = (v at y + v at x)/2 ?
 
  • #6
MPZ said:
average velocity using v = wr , average speed = (v at y + v at x)/2 ?
No, neither of the above are correct for this problem. You need to take a minute to look up the definitions of average speed and average velocity. The Hyperphysics website page for average velocity is apropos. Pay particular attention to the section, "Average Velocity, General".

Please don't "bump" your thread by posting appeals for a response when only a few minutes have passed since the last reply. Forum rules regarding thread bumping allow one bump after 24 hours have elapsed.
 
  • #7
Average velocity is the distance between starting and ending points divided by elapsed time, so it is independent of the path. Average speed is the distance traveled divided by elapsed time, so it is dependent on the path.
 
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Related to Circular motion: Speed, velocity for car on a semi-circular path

1. What is circular motion?

Circular motion refers to the movement of an object along a circular path, where the object maintains a constant distance from a fixed point and its direction changes continuously.

2. How is speed different from velocity in circular motion?

Speed is a measure of how fast an object is moving, while velocity is a measure of the rate and direction of an object's motion. In circular motion, an object's speed may remain constant, but its velocity is constantly changing as the direction of motion changes.

3. How does the radius of the circular path affect the speed of a car?

The radius of the circular path is directly related to the speed of the car. The smaller the radius, the greater the speed of the car needs to be in order to maintain the circular motion. This is because a smaller radius means the car must complete the circular path in a shorter distance, requiring a higher speed.

4. What is centripetal force and how does it relate to circular motion?

Centripetal force is the force that keeps an object moving in a circular path. In circular motion, the centripetal force is directed towards the center of the circle and is necessary to counterbalance the inertia of the object, which would otherwise cause it to move in a straight line.

5. Can an object have a constant speed but changing velocity in circular motion?

Yes, in circular motion, an object can have a constant speed but changing velocity. This is because velocity takes into account the direction of motion, which is constantly changing in circular motion, even if the speed remains constant.

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