SOLUTION: The wheel had an angular velocity of 500 radians per minute. How fast was the wheel rolling along in kilometers per hour if the radius of the wheel was 170 centimeters?
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Question 1033137: The wheel had an angular velocity of 500 radians per minute. How fast was the wheel rolling along in kilometers per hour if the radius of the wheel was 170 centimeters?
I have done similar problems in the past, but to be sure I've been doing it correctly, a solution to this one would be great. Thank you! Found 2 solutions by Alan3354, josmiceli:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The wheel had an angular velocity of 500 radians per minute. How fast was the wheel rolling along in kilometers per hour if the radius of the wheel was 170 centimeters?
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500 rad/min = 500/2pi rev/min
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Each rev is the perimeter = 2*pi*170 cm
340pi*(500/2pi) = 85000 cm/min = 0.85 km/min
0.85 km/min * 60 min/hr = 51 km/hr
You can put this solution on YOUR website! There are radians in a circle, so
[ rad / min ] / [ rad / rev ] = [ rev / min ] rev/min
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The wheel travels a horizontal distance of cm
one circumference in one revolution, so
Let = circumference in cm cm / rev
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[ rev / min ] x [ cm / rev ] = [ cm / min ] cm / min
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[ cm / min ] x [1 m / 100 cm ] x [ km / 1000 m ] = [ km / min ] km/min
[ km/min ] x [ min/hr ] = [ km / hr ]
The wheel moves horizontally 51 km/hr
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Get a 2nd opinion & check the math
I could easily mess this up
