A ceiling fan has 18 inch blades and turns at a rate of 45 revolutions per minute. What is the angular speed in radians per hour?

2700n rad/1 hr
97200n rad/1 hr
5400n rad/1 hr
90n rad/1 hr

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 =  

The angular speed in rad/hr = 5400π rad/1 hr