Problem with average velocity in a circle

AI Thread Summary
A particle travels in a circle with a radius of 7.4 m and a constant speed of 2.11 m/s, completing one revolution in 22.0 seconds. The discussion highlights that while speed remains constant, velocity can change due to direction, which is crucial for calculating average velocity. To find the average velocity from t = 4.4 s to t = 18.7 s, one must determine the particle's net displacement during that time interval. This involves locating the particle's positions at the specified times and calculating the displacement vector. The average velocity is then the net displacement divided by the time interval.
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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