Linear and Angular Speed Trig

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
• 72000π 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 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

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

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. 

• 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