The blades on a wind turbine trace a circular path with radius 100 feet. suppose the turbine spins at 20 revolutions per minute. what is the linear velocity, in miles per hour (1 mile equals 5,280 feet), of a point on the tip of a blade? round the answer to the nearest tenth.

Radius = r = 100 feet
Angular velocity = w= 20 revolutions per minute = 20 x 2π radians per minute
Angular velocity = w = 40π radians per minute

Linear velocity = v = r w

So,

Linear velocity = v = 100 x 40π = 4000π feet per minute
v = 4000π x 60/5280 miles per hour
v = 142.8 miles per hour

Thus the Linear Velocity of the turbine will be 142.8 miles per hour

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step-by-step explanation:

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