An object of mass m S angular acceleration=0.2rad s-2. What is the angular displacement covered by the object after 3 seconds?( assume that the object started with angle zero with zero angular velocity)
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Solution
Given, Angular acceleration , α = 0.2 rad/s² time , t = 3 sec
we have to find angular displacement covered by object . Use formula, Θ = ω₀t + 1/2 αt² Where, ω₀ is the initial angular velocity ∵ ω₀ = 0 , t = 3 sec and α = 0.2 rad/s² ∴ Θ = 0 × 3 + 1/2 × 0.2 × (3)² Θ = 0.1 × 9 = 0.9 rad