A particle starts from rest on a circle with constant angular acceleration α = 2 rad/s². After an angular displacement of 2 rad, if ω² = N, find N.
Physics · Circular Motion · kinematics of circular motion
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Question

A particle starts from rest on a circle with constant angular acceleration α = 2 rad/s². After an angular displacement of 2 rad, if ω² = N, find N.

G1 Physics · Accepted Answer

Use rotational kinematics: ω² = ω₀² + 2αΔθ. Since ω₀=0, α=2 rad/s² and Δθ=2 rad, ω²=2×2×2=8. Hence N=8.