Angular and Linear Speed Quiz

An SUV tire with a radius of 12.5 inches rotates at a rate of 545 revolutions per minute. Find the linear speed of the tire in inches per minute.

• 42,804.2 in/min

• 13,625 in/min

• 40,875 in/min

• 13,080 in/min

An SUV tire with a radius of 12.5 inches rotates at a rate of 545 revolutions per minute. Find the tire's angular speed in radians per minute.

• 1,090 rad/min

• 1,711.3 rad/min

• 3,424.3 rad/min

• 2,566.9 rad/min

The fan on a pool heater has a diameter of 107 centimeters and rotates at a rate of 212 revolutions per minute. Find the fan's linear speed in centimeters per minute.

• 22,684 cm/min

• 71,263 cm/min

• 11,342 cm/min

• 84,629 cm/min

The fan on a pool heater has a diameter of 107 centimeters and rotates at a rate of 212 revolutions per minute. Find the fan's angular speed in radians per minute.

• 424 rad/min

• 1,332 rad/min

• 636 rad/min

A 56-mm wheel on a skateboard makes 430 revolutions per minute. Find the linear speed of the wheel in meters per second. (HINT: 1 meter = 1,000 mm)

• 1.3 m/sec

• 24,080 mm/min

• 0.4 m/sec

• 4.1 m/sec

A 12-inch bicycle tire is making 175 revolutions per minute. Find the linear speed in miles per hour. (HINT: 1 mile = 5,280 ft)

• 11.6 mi/hr

• 4.0 mi/hr

• 12.5 mi/hr

• 4.2 mi/hr

A record with a diameter of 12 inches rotates at 33 revolutions per minute. Find the angular speed of the record in radians per second.

• 66 rad/sec

• 3.5 rad/sec

• 1.1 rad/sec

• 2.9 rad/sec

A saw blade has blades that measure 8 inches long. If the fan rotates at a speed of 9 revolutions per second, find the linear speed of the ends of the blades in miles per hour. (HINT: 1 mile = 5,280 ft)

• 144 mi/hr

• 452.2 mi/hr

• 7.5 mi/hr

• 25.7 mi/hr

Darlene is driving a car whose wheels have an 11-inch radius. If Darlene's wheels are rotating at a rate of 378 rpm, find the linear speed in miles per hour in which she is traveling. (HINT: 1 mile = 5280 ft)

• 75.6 mi/hr

• 42.7 mi/hr

• 24.7 mi/hr

• 57.6 mi/hr

A DVD with a radius of 6 centimeters rotates at a speed of 243 rpm. Find the linear speed in centimeters per second.

• 48.6 cm/sec

• 291.6 cm/sec

• Not solvable:/

• 152.7 cm/sec