Derive an expression for the kinetic energy of a body of mass moving in a circle of…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

Derive an expression for the kinetic energy of a body of mass

m

moving in a circle of radius

r

with time period

T

, and show that

K = \dfrac{2\pi^{2} m r^{2}}{T^{2}}