\(v=\frac{80km}{h}\frac{1000m}{km}\frac{1h}{3600s}=22.22m/s\)
¥b®|\(R=\frac{0.75m}{2}=0.375m\)
a)\(\omega_0=\frac{v_{com0}}{R}=\frac{22.22m/s}{0.375m}=59.3rad/s\)
(b)\(\theta=(30rev)*(2\pi)=188rad\)
\(\omega^2=\omega_0^2+2\alpha \theta\)
\(|\alpha|=\frac{(59.3rad/s)^2}{2(30*2\pi)}=9.33rad/s^2\)
(c)\(R \theta=(0.375m)(30*2\pi)=70.7m\)