The angular speed of a particle varies with angular position according to ω² = 4 + 6θ. If the angular acceleration is N rad/s², find N.

Question

G1 Physics · Accepted Answer

Use α = dω/dt = (dω/dθ)(dθ/dt) = ω(dω/dθ). Therefore α = ½ d(ω²)/dθ. Here d(ω²)/dθ = 6, so α = 3 rad/s². Hence N=3.