Question

Find the angular velocity of a body rotating with an acceleration of 2 rev/s ² as it completes the 5th revolution after the start.

Answer 1

θ = 5 rev, α = 2 rev/s², ω₀ = 0 ; ω = ?
ω² = (2 α θ)
ω = √(2 x 2x 5) = 2 √5 rev/s.
or θ = 10π rad,  α= 4π rad/s², ω₀ = 0, ω = ?
ω = √2αθ = 2 × 4π × 10π
= 4π 5 rad/s = 2 √5 rev/s.