A particle of mass mmm moves in a circle of radius rrr. The time taken to complete one full revolution is TTT. What is the kinetic energy of the particle?
π2mr22T2\frac{\pi^2 m r^2}{2T^2}2T2π2mr2
2π2mr2T2\frac{2\pi^2 m r^2}{T^2}T22π2mr2
4π2mr2T2\frac{4\pi^2 m r^2}{T^2}T24π2mr2
2π2m2r2T2\frac{2\pi^2 m^2 r^2}{T^2}T22π2m2r2