Answer:
5400π rad/1 hr
Step-by-step explanation:
The angular speed is used to measure the speed of an object in rotational motion. The angular speed is the ratio of the distance traveled by the object in radian to the time taken in seconds, hence its unit is in rad/s.
Given that the angular speed = 45 revolutions per minute
1 rev = 2π rad
1 min = 1/60 hr
Hence:
Angular speed = [tex]\frac{45\ rev*\frac{2\pi \ rad}{1 \ rev} }{1\ min*\frac{1\ hr}{60\ min} }=\frac{90\pi\ rad*60}{1\ hr} = \frac{5400\pi \ rad}{1\ hr}[/tex]
The angular speed in rad/hr = 5400π rad/1 hr
