How to find the angular velocity of wheels in radians per second
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How to find the angular velocity of wheels in radians per second

[From: ] [author: ] [Date: 13-10-31] [Hit: ]
but I dont know how to get to it. Can someone explain how to do this problem?? I only have two formulas I can use.........
The wheels on a skateboard have a diameter of 3.3 inches. If a skateboarder is traveling downhill at 20 miles an hour determine the angular velocity of the wheels in radians per second.

I have the answer, but I don't know how to get to it. Can someone explain how to do this problem?? I only have two formulas I can use...

Angular speed w=o/t
o = angle of rotation in radians
t = time

Linear speed of a rotating object v=rw
r=radius
w = angular speed in radians

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The wheel rotates an entire 2pi radians when it rotates its full circumference.

Circumference of wheel = 3.3*pi inches

1 mile = 5280 feet

1 ft = 12 inches and 1 hour = 3600 s

Speed = (5280 ft * 20 * 12)/(3600 s) = 352 in/s

Angular speed = (352 in)/(3.3 pi inches) * (2pi) rad/s = 213.94 rad/s
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