How to Calculate Average Velocity on a Circular Track?

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Homework Help Overview

The discussion revolves around calculating the average velocity of a car traveling on a circular track, where the car maintains a constant speed of 20 m/s over a track with a circumference of 2.0 km.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the definitions of average velocity and average speed, questioning the validity of the answer key that states the average velocity is 0.

Discussion Status

Some participants have provided insights into the reasoning behind the average velocity being 0, particularly focusing on the concept of displacement after completing a lap. There appears to be a productive exploration of the definitions involved.

Contextual Notes

There is an emphasis on understanding the difference between average velocity and average speed, as well as the implications of returning to the starting point on a circular track.

cvc121
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Homework Statement


A car travels on a circular track at 20m/s. The track has a circumference of 2.0km. What is the average velocity of the car over one lap?

Homework Equations

The Attempt at a Solution


Since the car is traveling at a constant speed of 20m/s, wouldn't the average velocity be 20m/s? The answer key says 0.
 
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Cannot you imagine why 0 is a valid answer?
 
Check the definitions of average velocity and average speed.
 
Oh, my bad. Since the car arrives back at the same location, there is no change in displacement and thus, average velocity is 0.
 
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cvc121 said:
Oh, my bad. Since the car arrives back at the same location, there is no change in displacement and thus, average velocity is 0.
Yessir! :oldbiggrin:
 

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