A particle moving with uniform Motion Along a Curved Path has a period of 0.24 s and a speed of 4.2 m/s.The radius of the path of the particle is
A)16 cm
B)2.6 cm
C)1.0 m
D)0.062 cm
E)1.4 cm

Question

Quizplus · Accepted Answer

The speed of a particle moving in a circular path is given by v = 2πr/T, where v is the speed, r is the radius, and T is the period. Rearranging for r gives r = vT/(2π). Substituting v = 4.2 m/s and T = 0.24 s, we get r = (4.2 * 0.24) / (2 * π) = 0.16 m = 16 cm.

A Particle Moving with Uniform Motion Along a Curved Path