Super quick question about angular motion

AI Thread Summary
The discussion centers on calculating the displacement of a turntable rotating with angular motion. The user initially calculates the displacement as 25 revolutions using the formula for average angular velocity. However, they question whether the correct answer could be 50 revolutions, assuming a constant speed of 5 revolutions per second. The clarification provided emphasizes that the turntable only reaches 5 rev/s at the end of the 10-second interval, confirming that 50 revolutions is not possible in that time frame. The final conclusion is that the correct displacement is indeed 25 revolutions.
lc99
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Homework Statement



upload_2018-2-10_0-13-46.png

Homework Equations


displacement = .5(wi+wf)*t
wi =0
wf=5 rev / sec
t=10

The Attempt at a Solution


displacement = 5/2*10= 25 revolutions

I know it is simple, but I am not sure if i heard right that the answer is actually 50 revolutions. Did i do something wrong?
 

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You are right. Note that if the turntable rotated at a steady rate of 5 rev/s it would rotate through 50 rev in 10 s. But in your problem, the turntable only reaches 5 rev/s at the very end of the 10 s time interval. So there is no way it could make 50 rev in 10 s.
 
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