If the speed of revolution of a particle on the circumference of a circle and the speed gained in falling through a distance equal to half the radius are equal, then the centripetal acceleration will be
Practice this Circular Motion question from Engineering Entrance Exam.
Question Details
Physics
Circular Motion
Engineering Entrance Exam
Question
If the speed of revolution of a particle on the circumference of a circle and the speed gained in falling through a distance equal to half the radius are equal, then the centripetal acceleration will be
Solution
Speed gain by body falling through a distance \(h\) is equal to \(v = \sqrt {2gh} = \sqrt {2g\frac{r}{2}} \)
\( \Rightarrow v = \sqrt {gr} \) \( \Rightarrow \frac{{{v^2}}}{r} = g\)