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theta(t) = 2t^3 + 5t^2 - 2t + 1

Find the angular velocity in rpm's at t = 2s if the radius of the circular path is 30 cm

Basically I want to kno if i did this part of the problem right b/c my professor didn't give us a key for the practice exam

2. Homework Equations

omega = d theta/dt

3. The attempt at a solutio

omega(t) = 6t^2 + 10t -2

omega(2) =42 m/s

30 cm = .3 m

Circumference = .3(2)pi = .6pi

42 m/s * 60s/min = 252 m/min

252 m/min * 1 rev/.6pi m = 42/pi rpm