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13 questions
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
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
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
A merry go round makes 18 rotations in 2 minutes. What is its angular speed in rpm?
3 rpm
6 rpm
9rpm
12 rpm
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
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
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
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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