SOLUTION: An airplane propeller whose blades are 5.50 feet long is rotating at 2400 rpm. Find the linear speed of a point on the end of the blade.

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Question 115106: An airplane propeller whose blades are 5.50 feet long is rotating at 2400 rpm. Find the linear speed of a point on the end of the blade.
Answer by solver91311(12126) About Me  (Show Source):
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Unless something is horribly wrong, the end of a propeller blade travels in a circle. If the blade is 5.5 feet long, presumably measured from the center of the propeller dome, then the circle described by the end of the blade has a radius of 5.5 feet. Therefore, the circumference of the circle is given by C=2%2Api%2A5.5=11%2Api feet.

Since the propeller is rotating at 2400 rpm, the tip of the blade is travelling 11%2Api%2A2400 feet per minute or 26400%2Api feet per minute, which is to say 440%2Api feet per second or 300%2Api miles per hour.

Since the problem did not say to compute to some nearest decimal place accuracy, I left the answers in their exact form.