Question

An object is tied to a string of length 2m and whirled at the constant rate of 2m/s. What is the magnitude of its angular velocity?

Answer 1

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

Angular velocity (ω) = Linear velocity (v) / Radius (r)

In this case, the linear velocity (v) is given as 2 m/s, and the radius (r) is equal to the length of the string, which is 2 m.

Plugging in the values into the formula, we have:

Angular velocity (ω) = 2 m/s / 2 m

ω = 1 rad/s

Therefore, the magnitude of the object's angular velocity is 1 rad/s.