An object of mass 0.40kg attached to the end of a string is whirled round

Question

An object of mass 0.40kg attached to the end of a string is whirled round in a horizontal circle of radius 2.0m with a constant speed of 8 m/s. Calculate the angular velocity of the object.

Solution

Explanation

Data:

Linear speed, v = 8 m/s

mass, m = 0.40kg

Unknown

Angular velocity, ω = ?

Formula

ω = v / r

Solution

We will now plugin our data into the above formula

ω = v / r = 8 / 2 = 4 rad/s

Therefore, the final answer to the angular velocity of the object is 4 radians per second (rad/s)

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Reference:

Velocity, Radius and Angular Speed – Finding Units