Physics Two Dimensional Motion Question 347
Question: What happens to the centripetal acceleration of a revolving body if you double the orbital speed $ v $ and half the angular velocity $ \omega $
Options:
A) The centripetal acceleration remains unchanged B) The centripetal acceleration is halved C) The centripetal acceleration is doubled D) The centripetal acceleration is quadrupled
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Answer:
Correct Answer: A
Solution:
$ a=\frac{v^{2}}{r}=v\omega $
Therefore $ {a}’=(2v),( \frac{\omega }{2} )=a $ i.e. remains constant.