Mathematics
nicedude
2016-04-21 16:21:27
If a wheel with a radius of 70 inches spins at a rate of 600 revolutions per minute, find the approximate linear velocity in miles per hour. use pi= 3.14
ANSWERS
BrileyC
2016-04-21 17:56:37

The linear velocity will be the tangent velocity of the points in the extreme of the wheel. Tangent velocity = angular velocity * radius angular velocity = 2π * frequency => angular velocity 2*3.14*600 rad/min = 3,768 rad/min tangent velocity = 70 in * 3768 / min = 263,760 in/min Convert to m/s => 263,760 in/min * 2.54 cm / in * 1m / 100cm * 1min/60s = 111.7 m/s Answer: velocity = 111.7 m/s

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