Answer:
a) Revolutions per minute = 2.33
b) Centripetal acceleration = 11649.44 m/s²
Explanation:
a) Angular velocity is the ratio of linear velocity and radius.
Here linear velocity = 72 m/s
Radius, r = 0.89 x 0. 5 = 0.445 m
Angular velocity
[tex]\omega =\frac{72}{0.445}=161.8rad/s[/tex]
Frequency
[tex]f=\frac{2\pi}{\omega}=\frac{2\times \pi}{161.8}=0.0388rev/s=2.33rev/min[/tex]
Revolutions per minute = 2.33
b) Centripetal acceleration
[tex]a=\frac{v^2}{r}[/tex]
Here linear velocity = 72 m/s
Radius, r = 0.445 m
Substituting
[tex]a=\frac{72^2}{0.445}=11649.44m/s^2[/tex]
Centripetal acceleration = 11649.44m/s²
