Question

A dentist drill starts from rest. After 9.15 second of constant angular acceleration it turns at a rate of 34390 rad/s. What is drills angular acceleration?

Answer 1

α = (ω - ωo)/t
α = (2.4e4 rev/min)(2π rad/rev)(min / 60 s) / (2.70 s)
α = 931 rad/s^2

(b)
θ = αt^2 / 2
θ = (931 rad/s^2)(2.70 s)^2 / 2
θ = 3.39e3 rad