A rotating object starts from rest at t = 0 s and has a constant angular acceleration. At a time of t = 7.0 s the object has an angular velocity of ω = 15 rad/s. What is its angular velocity at a time of t = 14 s?

angular velocity at t=14-s is w = 29.98-rad/s

Explanation:

for constant angular acceleration,

∝ = Δw / Δt Δ = (w-wi) / (t-ti)

∝ = 15 - 0 / 7 - 0

∝ = 2.14-rad/s²

now again applying formula,

∝ = Δw / Δt Δ = (w-wi) / (t-ti)

w = (t-ti) ∝+wi

w = (14 - 7) (2.14) + 15

w = 29.98-rad/s