Kinematics Question 797
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
Show Answer
Answer:
Correct Answer: A
Solution:
$ a=\frac{v^{2}}{r}=v\omega $
therefore $ {a}’=(2v)( \frac{\omega }{2} )=a $ i.e. remains constant.
