A object with mass m=1.0kg is rotating around a axis, with a constant angular speed omega=6.28rad/s. The radius of the circular motion is 2.0m. What is the: (1) tangential speed; (2) centrapital force; and (3) period?

1) V = 12.56 m/s, 2) F = 78.877 N, 3) T = 1 Sec

Explanation:

Given:

m=1 kg, ω=6.28 rad/s, r = 2.0m

1) Relation between linear and angular velocity is

V=rω = 2.0 m * 6.28 rad/s = 12.56 m/s

2) Centripetal force Fc=mv²/r

F = 1kg (12.56 m/s) ²/2.0 m=78.877 N

3) Period of Revolution T = 2π/ω

T = 2π/6.28 rad/s = 1 sec