Problem with average velocity in a circle

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Homework Help Overview

The problem involves a particle moving with constant speed in a circular path, specifically focusing on calculating the average velocity over a specified time interval. The context includes concepts from circular motion and kinematics.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the distinction between speed and velocity, questioning why a calculated velocity was rejected. There is an exploration of how to determine net displacement over the given time interval.

Discussion Status

The discussion is ongoing, with participants providing insights into the nature of average velocity in circular motion and suggesting methods to find net displacement. There is no explicit consensus yet, but some guidance has been offered regarding the calculation of displacement.

Contextual Notes

Participants are considering the implications of the particle's direction of motion and how it affects the average velocity calculation. The specific time points for analysis are also noted, which may influence the understanding of displacement.

DuffBeer
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A particle P travels with constant speed in a circle of radius 7.4 m and completes one revolution in 22.0 s (see Figure). The particle passes through O at t = 0 s. What is the magnitude of the average velocity during the interval from t = 4.4 s and t = 18.7 s.

I used T=2(pi)r / v

22 = 2*pi*7.4/v
v = 2.11 m/s

But the answer was rejected... The velocity in a circle is supposed to be constant, why won't my answer work?
 
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DuffBeer said:
But the answer was rejected... The velocity in a circle is supposed to be constant, why won't my answer work?
The speed is constant, not the velocity.
 
Doc Al said:
The speed is constant, not the velocity.

Oh man... Does that mean my answer is just negative since it's moving counterclockwise?
 
find the displacement

DuffBeer said:
Oh man... Does that mean my answer is just negative since it's moving counterclockwise?
No. I suspect they want you to find the net displacement of the particle from t = 4.4 s to t = 18.7 s. Find out where it is on the circle at those two points, and then figure the displacement. The "average velocity" will be the net displacement divided by the time.
 

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