1. Tardigrade
  2. Question
  3. Physics
  4. The radius of the path of a body in uniform circular motion is doubled. The centripetal force needed, if its speed remains the same is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The radius of the path of a body in uniform circular motion is doubled. The centripetal force needed, if its speed remains the same is

System of Particles and Rotational Motion

Solution:

Let centripetal force initially be $F_{0}$
$\Rightarrow F_{0}=\frac{m v^{2}}{R_{0}}$
$Now , F_{ new }=\frac{m v^{2}}{\left(2 R_{0}\right)}=\frac{F_{0}}{2}$