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Mathematics 20 Online
OpenStudy (anonymous):

The propeller of an airplane is 9 feet in diameter. What is the speed of the tip of a propeller blade if the angular velocity of the propeller is 50 radians per second?

OpenStudy (anonymous):

Think circumference/arc length formula.

OpenStudy (anonymous):

n/360 (2pi r), yeah. I don't understand how to calculate the speed, though. I guess this is just combining other things I've done separately and it confuses me. Sorry. math's not my... strength.

OpenStudy (anonymous):

Speed is distance over time. The distance is the arc length, and the 'over time' you get from the angular velocity.

OpenStudy (anonymous):

Okay- Thank you.

OpenStudy (anonymous):

y.w.

OpenStudy (anonymous):

Wow. Okay. With some minor calculatory wizardry, I've come to the conclusion that it's 225 feet per second.

OpenStudy (anonymous):

That's what I get too. Good job!

OpenStudy (anonymous):

So the formula is: linear velocity = angular velocity × radius.

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