If a rigid body a point rotates 60 degrees in 6minutes the angular velocity of the body is-
Answers
angular velocity of the body is π/1080 rad/s²
explanation : we know,
angular velocity of a body is the rate of change of angular position with respect to time.
i.e., ω = ∆θ/∆t
here , change in angular position, ∆θ= 60° = 60°/360° × 2π rad = π/3 rad
time interval , ∆t = 6 min = 6 × 60 = 360 sec
now angular velocity of the body, ω = (π/3)/360 = π/(360 × 3) = π/1080 rad/s²
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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