Linear and Angular Speed Trig

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?

• 90π rad / 1 hr
• 2700π rad / 1 hr
• 5400π rad / 1 hr
• 97200π rad / 1 hr

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

• 90π ft / 1 hr

• 2700π ft / 1 hr

• 5400π ft / 1 hr

• 4050π ft / 1 hr

A car tire has a diameter of 14 inches and is spinning at a of 10 revolutions per second. What is the linear speed in miles per hour?

• 7.95π mi / 1 hr
• 15.90 mi / 1 hr
• 3.28 rad / 1 hr
• 2.84 rad / 1 hr

A car tire has a diameter of 14 inches and is spinning at a rate of 10 revolutions per second. What is the angular speed in radians per hour?

• 120π rad / 1 hr
• 1,008,000π rad / 1 hr
• 504,000π rad / 1 hr
• 7200π rad / 1 hr

A spin balancer rotates the wheel of a car at 500 revolutions per minute. If the diameter of the wheel is 26 inches, what road speed (linear speed) is being tested?

• 12.31π mi / 1 hr

• 12.09π mi / 1 hr

• 13. 44π mi / 1 hr

• 24.62π mi / 1 hr

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