1. The blades of a toy chopper have a 30cm long radius and rotate at
315rad/s.
a. What is the angular velocity of the blades in rpm?
b. What is the linear velocity of the tips?
a. 3008.028rpm
b. 94.5m/s
Part a is a simple conversion, while in part b all we need to do is
multiply the angular velocity by the radius.
a. 315rad/s / 2
rad * 60s = 3008.028rpm
b. 315rad/s * .3m = 94.5m/s
2. A car undergoes a 2.5m/s2 linear acceleration. If the wheels are 1m in
diameter, what is their angular acceleration?
2.5rad/s2
Here we just plug everything into the linear/angular acceleration
converstion equation.
* 1m = 2.5m/s2
= 2.5rad/s2
