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# The end of a blade on an airplane propeller is 10 feet from the center

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Math Expert
Joined: 02 Sep 2009
Posts: 60501
The end of a blade on an airplane propeller is 10 feet from the center  [#permalink]

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25 May 2016, 07:52
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85% (02:11) correct 15% (00:56) wrong based on 18 sessions

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The end of a blade on an airplane propeller is 10 feet from the center. If the propeller spins at the rate of 1,320 revolutions per second, how many miles will the tip of the blade travel in one minute? (1 mile = 5,280 feet)

A. 200π
B. 240π
C. 300π
D. 480π
E. 1,200π

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Posts: 8344
Re: The end of a blade on an airplane propeller is 10 feet from the center  [#permalink]

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25 May 2016, 08:01
Bunuel wrote:
The end of a blade on an airplane propeller is 10 feet from the center. If the propeller spins at the rate of 1,320 revolutions per second, how many miles will the tip of the blade travel in one minute? (1 mile = 5,280 feet)

A. 200π
B. 240π
C. 300π
D. 480π
E. 1,200π

Propeller is circular in shape, so the tip will travel the entire Circumference in ONE revolution = $$2π*10 = 20π$$.....
@1320 revolutions per sec, it will travel 1320*20π in 1 sec OR 1320*20π *60 feet in one minute....
In miles, 1320*20π *60 feet = $$\frac{1320*20π *60}{5280} = \frac{60*20π}{4}= 300π$$
C
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Re: The end of a blade on an airplane propeller is 10 feet from the center  [#permalink]

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25 May 2016, 08:36
Bunuel wrote:
The end of a blade on an airplane propeller is 10 feet from the center. If the propeller spins at the rate of 1,320 revolutions per second, how many miles will the tip of the blade travel in one minute? (1 mile = 5,280 feet)

A. 200π
B. 240π
C. 300π
D. 480π
E. 1,200π

Distance traveled in 1 revolution = 2πr= 2π10/5280

Revolutions in one second= 1320
Revolutions in 60 seconds (one minute)= 1320*60

Total distance traveled= total revolutions *distance traveled in one revolution
1320*60 *2π10/5280= 300π

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Re: The end of a blade on an airplane propeller is 10 feet from the center   [#permalink] 25 May 2016, 08:36
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