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the propeller spins

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by sanju09 » Thu Feb 26, 2009 6:20 am
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. 200 pi
B. 240 pi
C. 300 pi
D. 480 pi
E. 1,200 pi
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C?

by satish.nagdev » Thu Feb 26, 2009 9:54 am
I think its C

1320*60 ==> per minute revolutions
circumference of circle with radius 10ft = distance of one revolutions
2piR = 2*10*pi =20pi

so 20*pi*1320*60/5230 = 300


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by hk » Thu Feb 26, 2009 11:13 am
10 feet = 10/5280 miles = 1/528

Perimeter of the circular path = 2*pi*1/528
So in one sec, distance travelled by the edge of the blades =
2*pi*1/528*1320

So in 60 secs (one min) => 2*pi*1/528*1320*60 = 300pi

So answer = C
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Re: the propeller spins

by marcusking » Thu Feb 26, 2009 11:14 am
sanju09 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. 200 pi
B. 240 pi
C. 300 pi
D. 480 pi
E. 1,200 pi
C. 300 pi

Circumference of circle created by spinning propeller is 20pi.
20pi * 1,320 revolutions = 25400 pi

5,280/60 = 88 (reduce to feet per minute)
25400pi / 88 = 300 pi
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by krisraam » Thu Feb 26, 2009 11:19 am
Its c 300Pi

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