Question

A 60 kg woman stands at the rim of a horizontal turntable. If the turntable rotates at 2 revolutions per minute and has a radius of 2 meters, what is the woman's angular velocity?

A) 0.5 rad/s
B) 1 rad/s
C) 2 rad/s
D) 4 rad/s

Answer 1

The angular velocity of the woman can be calculated using the formula: Angular Velocity = (2 * π * Number of Revolutions) / Time. Given that the woman stands at the rim of a turntable, the radius is 2 meters and the turntable rotates at 2 revolutions The angular velocity of the woman on the turntable is approximately π / 30 rad/s.

Step-by-step explanation:

The angular velocity of the woman can be calculated using the formula:

Angular Velocity = (2 * π * Number of Revolutions) / Time

Given that the woman stands at the rim of a turntable, the radius is 2 meters and the turntable rotates at 2 revolutions per minute, we can substitute the values into the formula:

Angular Velocity = (2 * π * 2) / (1 minute * 60 seconds)

1 minute is equal to 60 seconds, so the expression simplifies to:

Angular Velocity = (2 * π * 2) / 120

Simplifying further, we get:

Angular Velocity = π / 30 rad/s

Therefore, the woman's angular velocity is approximately π / 30 rad/s. Answer choice C) 2 rad/s is the closest option.