Angular Velocity Equation

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Angular velocity for an object moving with a constant velocity on a circular path with a fixed radius is the rate
of change in the angle measured in radians. Angular velocity of a particle is expressed as ‘ω’. The unit of 
angular velocity is radians/seconds. The formual of angular velocity can be written as :

ω = v / r,
where ‘v’ is the constant velocity and ‘r’ is the fixed radius.


Example 1: Find the angular velocity of the of an object moving in a circular path with a constant
velocity 15 m/s and radius 2.5 meters.

Given the constant velocity of the object, v = 15 m/s.

The radius of the circle, r = 2.5 meters.

The angular velocity equation is ω = v/r.

ω = v/r = (15 m/s)/(2.5m) = 6 radians/s.

Hence the angular velocity of the object is ω =6 radians/seconds.   


Example 2: Find the angular velocity of the of a object moving in a circular path with a constant

velocity 36 m/s and radius 3 meters.

Given the constant velocity of the object is, v = 36 m/s.

The radius of the circle is, r = 3 meters.

The angular velocity equation is ω = v/r.

ω = v/r = (36 m/s)/(3 m) = 12 radians/s.

Hence the angular velocity of the object is ω =12 radians/seconds. 

 

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