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A point on the edge of a fan blade that is rotating in a plane is 10

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A point on the edge of a fan blade that is rotating in a plane is 10  [#permalink]

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New post Updated on: 14 Apr 2015, 04:16
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A point on the edge of a fan blade that is rotating in a plane is 10 centimeters from the center of the fan. WHat is the distance traveled, in centimeters, by this point in 15 seconds when the fan runs at the rate of 300 revolutions per minutes?

A. 750pi
B. 1500pi
C. 1875pi
D. 3000pi
E. 7500pi

Originally posted by puma on 15 Jun 2008, 10:28.
Last edited by Bunuel on 14 Apr 2015, 04:16, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
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Re: A point on the edge of a fan blade that is rotating in a plane is 10  [#permalink]

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New post 15 Jun 2008, 10:36
1
2
300/(60/15) = 75 revolutions
1 revolution = 2*pi*r = 20pi
20pi*75=1500pi

puma wrote:
A point on the edge of a fan blade that is rotating in a plane is 10 centimeters from the center of the fan. WHat is the distance traveled, in centimeters, by this point in 15 seconds when the fan runs at the rate of 300 revolutions per minutes?

A) 750pi
B) 1500pi
C) 1875pi
D) 3000pi
E) 7500pi
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Re: PS word problem  [#permalink]

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New post 08 May 2011, 10:59
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carollu wrote:
A point on the edge of a fan blade that is rotating in a plane is 10 centimetres from the centre of the fan. What is the distance traveled, in cms, by this point in 15 seconds when the fan runs at the rate of 300 revolutions per minute?

a)750 pie
b)1500 pie
c)1875 pie
d)3000 pie
e)7500 pie


Distance traveled in one revolution is \(2*\pi*r = 2*\pi*10 = 20\pi\)

Number of revolutions in 15 seconds when fan runs at the rate of 300 revolutions per minute = \(300*15/60 = 75\)

So total distance traveled = \(75*20\pi = 1500*\pi\) Answer B
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Re: A point on the edge of a fan blade that is rotating in a plane is 10  [#permalink]

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New post 14 Apr 2015, 04:19
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puma wrote:
A point on the edge of a fan blade that is rotating in a plane is 10 centimeters from the center of the fan. WHat is the distance traveled, in centimeters, by this point in 15 seconds when the fan runs at the rate of 300 revolutions per minutes?

A. 750pi
B. 1500pi
C. 1875pi
D. 3000pi
E. 7500pi


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Hope it helps.
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Re: A point on the edge of a fan blade that is rotating in a plane is 10  [#permalink]

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New post 25 May 2017, 03:59
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Hi,
what would be the level of this question ?
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Re: PS word problem  [#permalink]

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New post 08 May 2011, 12:32
RAdius of the circular plane in which point travels is 10 cms
in one revolution = 20pie
in 15 seconds fan makes 75 revs (300*15/60)
So total distance = 75*20pie
1500 pie
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Re: PS word problem  [#permalink]

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New post 08 May 2011, 20:14
given data

60 seconds - 300 revolutions
15 seconds - 75 revolutions


distance travelled in 1 revolution = 2*pi*r
distance travelled in 75 revolutions = 150*pi*r
= 1500pi

Answer is B.
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Re: PS word problem  [#permalink]

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New post 08 May 2011, 20:40
Revolutions /sec = 300/60 = 5
In 15 sec, revolutions = 15*5 = 75

distance traveled/ revolution = circumference = 2 * pi * (10)

Thus total distance in 15 sec = 2 * pi * (10) * 75

1800 * pi
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Re: A point on the edge of a fan blade that is rotating in a plane is 10  [#permalink]

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New post 13 Apr 2015, 18:19
Hi All,

While this is an old post, it's a decent example of how the GMAT can test you on Geometry concepts using real-world items (and a story problem).

We're told that a fan blade is 10cm from the center of the fan (which means we have a radius of 10). We're then told that the fan blade spins for 15 seconds (which means that we're dealing with the circumference of a circle). We're asked how far the point "travels" if the fan makes 300 revolutions per minute.

The 'math' involved in this question can be done in a couple of different ways, but here's a step-by-step method that should be easy to follow:

Since radius = 10
Circumference = 2(pi)(R) = 2(pi)(10) = 20pi

So every revolution = 20pi cm traveled

15 seconds = 1/4 of a minute
(300 revolutions/minute)(1/4 of a minute) = 75 revolutions in 15 seconds

(20pi cm)(75) = 1500pi cm

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Re: A point on the edge of a fan blade that is rotating in a plane is 10  [#permalink]

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New post 25 May 2017, 04:28
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Re: A point on the edge of a fan blade that is rotating in a plane is 10  [#permalink]

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New post 06 Jul 2017, 17:35
When given the speed in revolutions, the distance traveled will be speed * circumference
Here, the distance in 60 seconds = \(300 * 2*\pi*10\)
Hence the distance traveled in 15 seconds = \(\frac{15}{60}\) * \(300 * 2*\pi*10\) = \(1500\pi\)

Answer is B
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Re: A point on the edge of a fan blade that is rotating in a plane is 10  [#permalink]

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New post 10 May 2018, 10:41
puma wrote:
A point on the edge of a fan blade that is rotating in a plane is 10 centimeters from the center of the fan. WHat is the distance traveled, in centimeters, by this point in 15 seconds when the fan runs at the rate of 300 revolutions per minutes?

A. 750pi
B. 1500pi
C. 1875pi
D. 3000pi
E. 7500pi


One entire revolution is equal to the circumference of the circle, which is 2 x π x 10 = 20π.

We must convert 300 revolutions per minute to revolutions per second: 300/60 = 5 revolutions per second. So in 15 seconds the number of revolutions is 5 x 15 = 75 revolutions.

So the total distance traveled is 20π x 75 = 1500π.

Answer: B
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Re: A point on the edge of a fan blade that is rotating in a plane is 10  [#permalink]

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Re: A point on the edge of a fan blade that is rotating in a plane is 10   [#permalink] 18 May 2019, 12:32
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