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- 1. Multiple ChoiceA 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 hr2700π rad / 1 hr5400π rad / 1 hr97200π rad / 1 hr
- 2. Multiple Choice
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
- 3. Multiple ChoiceA 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 hr15.90 mi / 1 hr3.28 rad / 1 hr2.84 rad / 1 hr
- 4. Multiple ChoiceA 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 hr1,008,000π rad / 1 hr504,000π rad / 1 hr7200π rad / 1 hr
- 5. Multiple ChoiceA 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 is being tested?12.31π mi / 1 hr12.09π mi / 1 hr13. 44π mi / 1 hr24.62π mi / 1 hr
- 6. Multiple ChoiceA 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 / sec6,000 deg / 1 sec3,000 deg / 1 sec180,000 deg / 1 sec
- 7. Multiple Choice
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 speed) 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
- 8. Multiple Choice
The wheel of a bicycle is 1.0 m in diameter, and makes 3 rotations in 3 s as the bicycle rolls along the bike path.
What is the linear speed of the wheel at a distance of 0.200 m from the center of the wheel?
1.3 m/s
1.5 m/s
2.46 m/s
6.28 m/s
- 9. Multiple Choice
A merry go round makes 18 rotations in 2 minutes. What is its angular speed in rpm?
3 rpm
6 rpm
9rpm
12 rpm
- 10. Multiple Choice
A coin rolls across the floor at an angular speed of 3 rotations/second. What is its speed in degrees per second?
360 degrees/second
720 degrees/second
1080 degrees/second
1440 degrees /second
- 11. Multiple Choice
If you know how fast a wheel is turning in revolutions per minute, what do you multiply by to find the angular speed?
circumference
π times radius
2π
360
- 12. Multiple Choice
A car tire has a diameter of 36 cm and is spinning at 10 revolutions per second. What is the linear speed in km per hour?
40.72 km / 1 hr
50.90 km / 1 hr
3.28 rad / 1 hr
2.84 rad / 1 hr
- 13. Multiple Choice
A child sits 1.5 m from the center of a merry go round. The merry go round makes one revolutions in 5 seconds. What is the child's linear speed? Round your answer to tenths)
1.9 m/s
1.3 m/s
12.6 m/s
720 degrees.
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