Angular Velocity

A ceiling fan with 16 inch blades rotates at 45 rpm.  Find the angular velocity of the fan in rad/min.  Round to the nearest tenth.

• 90 rad/min
• 282.7 rad/min
• 45 rad/min
• 141.4

Determine the linear velocity of the tips of the blades in inches per minute for a ceiling fan with 20 inch blades rotating at 45 rpm.

• 5654.9 in/min
• 1800 in/min
• 2827.4 in/min
• 900 in/min

How many revolutions will a car wheel of diameter 30 in. make as the car travels a distance of one mile?  (Hint:  determine the circumference first ... rev/circumference ... then convert to rev/mile)  Round answer to the nearest tenth.

• 6635.0 rev/mile
• 672.3 rev/mile
• 884.7 rev/mile

The wheels of a car have radius 11 in. and are rotating at 600 rpm.  Determine the speed of the car in miles/hour to the nearest tenth.  (Determine ω (angular velocity) first and then use v=ω⋅r and convert to miles/hour)

• 6.3 miles/hour
• 12.5 miles/hour
• 39.3 miles/hour
• 78.5 miles/hour

Determine the angular velocity in rad/min of a gyroscope rotating at 6 rps (revolutions per second). Leave answer in terms of π.

• 360π rad/min
• 12π rad/min
• 360 rad/min
• 720π rad/min

A spin balancer rotates the wheel of a car at 500 revolutions per minute.  If the diameter of the wheel is 26 inches, what is the angular speed in degrees per second?

• 16.67 deg / sec
• 6,000 deg / 1 sec
• 3,000 deg / 1 sec
• 180,000 deg / 1 sec

A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed?

• 3.2 rad/s
• 26 rad/s
• 52 rad/s
• 81 rad/s

Two bugs ride a turntable which is rotating at a constant rate of 4 rad/s. Bug A is at a radius of 4 cm, while bug B is at a radius of 8 cm. Which of the following is true? 

• Bug A has a greater rotational speed. 
• Bug B has a greater rotational speed. 
• Bug A has a greater speed. 
• Bug B has a greater speed. 

Which has greater angular speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?

• The inside horse
• The outside horse
• Neither - they both have the same angular speed

A bug on a turning phonograph record will make more turns per minute if it is located toward the center of the record.

• True
• False