If a rigid body a point rotates 60 degree in 6 minutes the angular velocity of the body is
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If a rigid body a point rotates 60 degree in 6 minutes the angular velocity of the body is [π/1080] rad/sec or [π/(6*180)] rad/sec.
Explanation:
Step 1:
Angular displacement, θ = 60°
We have to change 60° into radians
∴ θ = 60° * [π/180°] = π/3 rad
Step 2:
Time period, t = 6 min
We have to change minutes into seconds
∴ t = 6 min = 6 * 60 = 360 sec
Step 3:
Thus,
The angular velocity, ω
= [Angular displacement (θ)] / [Time period (t)]
= [π/3 rad] / [360 sec]
= [π/1080] or [π/(6*180)] rad/sec
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