A particle moves on a circle of radius 1 m. At an instant its angular speed is 2 rad/s and angular acceleration is 3 rad/s². If |a| = √N m/s², find N.
Physics · Circular Motion · kinematics of circular motion
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Question

A particle moves on a circle of radius 1 m. At an instant its angular speed is 2 rad/s and angular acceleration is 3 rad/s². If |a| = √N m/s², find N.

G1 Physics · Accepted Answer

Radial acceleration a_c=Rω²=1×4=4 m/s². Tangential acceleration aₜ=Rα=1×3=3 m/s². Therefore |a|=√(4²+3²)=5=√25 m/s². Hence N=25.