Equations of Rotational Motion Video Lessons

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Problem: A turntable that is initially at rest is set in motion with a constant angular acceleration α. What is the angular velocity of the turntable after it has made one complete revolution? (A) √2α (B) √2πα  (C) √4πα  (D) 2α(E) 4πα

FREE Expert Solution

This is a rotational kinematic problem because we have constant acceleration. 

Rotational kinematic equations:

ωf=ω0 + αtθ=12(ω0+ωf)tθ=ω0t +12αt2ωf2=ω02+2αθ

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Problem Details

A turntable that is initially at rest is set in motion with a constant angular acceleration α. What is the angular velocity of the turntable after it has made one complete revolution? 

(A) √2α 

(B) √2πα  

(C) √4πα  

(D) 2α

(E) 4πα

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