Question

A wheel of diameter 20 cm is rotating at 600 rpm. The linear velocity of the particle at its rim is *
1 point

Answer 1

Radius = 10 cm = 0.1 metre

Angular velocity = 600 revolution per minute
= 600*2π/60 radian/second
= 20π rad / sec

Linear velocity of the point at rim = Radius*Angular velocity = 0.1*20π = 2π metres/second = 6.28 m/s

Answer 2

Answer: 6.28 m/s

Explanation:

The angular speed of the wheel = 600 rpm

α = 600 × 2π/60 = 62.8 rad/s

The diameter of wheel, d = 20 cm = 0.20 m

Radius of wheel, r = d/2 = 0.10 m

The relation between liner velocity and angular velocity is:

v = αr = 62.8 rad/s × 0.10 m = 6.28 m/s