1. A flywheel is rotating at 7 rad/sec. It has a 15-cm diameter. What is the speed of a point on its rim, in cm/min?
3. What is the angular speed in radians/second associated with a rotating an angle 3pi/4 radians in 2 seconds?
1) \(\omega = 7rad/s\\ r=15cm\\ v_{tan}=\omega r\\ v_{tan}= 7rad/s*(15cm)=105cm/s*(60s/1min)=6300cm/min\) 3) \(\Delta \theta=\frac{3\pi}{4}rads\\ t=2s\\ \omega = \frac{\Delta \theta}{t}=\frac{\frac{3\pi}{4}rads}{2s}=\frac{3\pi}{8}rad/s\)