Define the term angular velocity

Answers

Angular velocity is the rate of change of angular displacement with time.
If a body moving in a circular path turns through an angle

${\theta}$ radians in time ‘t’, we define angular velocity omega (

${\omega}$ ), as the rate of change of the angle

${\theta}$ with time.

${\omega}$ =

${\theta}$ / t, unit for angular velocity is radians per second (rads^-1). Since the radian measure is a ratio we can write it as second^-1 (s^-1). We can establish the relationship between angular velocity ‘

${\omega}$ ’ and linear velocity ‘v’, from the relation,

${\theta}$ = arc / radius, arc = radius ×

${\theta}$ . Dividing the expression by ‘t’, then arc / t = radius, but arc / t = v (angular velocity). So ‘v’ = radius ×

${\omega}$ . This expression gives us the relationship between angular and linear velocity.

johnmulu answered the question on February 18, 2017 at 09:22

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