A particle moving uniformly 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 period of a particle moving uniformly along a curved path is given by:T = 2πr / vwhere T is the period, r is the radius of the path, and v is the speed of the particle.In this case, the period is 0.24 s and the speed is 4.2 m/s. Substituting these values into the equation, we get:0.24 s = 2πr / 4.2 m/sSolving for r, we get:r = 0.24 s * 4.2 m/s / 2πr = 0.16 m = 16 cmTherefore, the radius of the path of the particle is 16 cm.

A Particle Moving Uniformly Along a Curved Path Has a Period