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
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
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