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The radius of a unicycle wheel is 1 foot. When the unicycle travels [#permalink]
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20 Nov 2017, 01:18
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The radius of a unicycle wheel is 1 foot. When the unicycle travels [#permalink]
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20 Nov 2017, 01:23
v(2*pi* 1) = 500 v= 80 approx A
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The radius of a unicycle wheel is 1 foot. When the unicycle travels [#permalink]
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Updated on: 20 Nov 2017, 08:14
Bunuel wrote: The radius of a unicycle wheel is 1 foot. When the unicycle travels continuously in one direction for 500 feet, the wheel makes v revolutions. Of the following, which is the best approximation to v?
(A) 80 (B) 160 (C) 310 (D) 3,140 (E) 6,280 Radius = 1 foot Distance travelled = 500 feet Total Number of revolutions = v Total Distance travelled = Distance travelled in 1 Revolution * Number of revolutionsAlso, Distance travelled in 1 revolution = Circumference of the wheel = 2*π*r = 2π 500 = 2π * v i.e. v = 500/2π = 79.57 = 80 Answer: Option A
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Originally posted by GMATinsight on 20 Nov 2017, 05:32.
Last edited by GMATinsight on 20 Nov 2017, 08:14, edited 2 times in total.



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Re: The radius of a unicycle wheel is 1 foot. When the unicycle travels [#permalink]
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20 Nov 2017, 05:57
GMATinsight wrote: Radius = 1 foot
Distance travelled = 500 feet
Total Number of revolutions = v
Total Distance travelled = Distance travelled in 1 Revolution * Number of revolutions
Also, Distance travelled in 1 revolution = Circumference of the wheel = 2*π*r = 2π
Total Distance travelled =v = 2π * 500= 3140
Answer: Option D Would you please explain the highlighted part?
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The radius of a unicycle wheel is 1 foot. When the unicycle travels [#permalink]
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Updated on: 20 Nov 2017, 08:15
TaN1213 wrote: GMATinsight wrote: Radius = 1 foot
Distance travelled = 500 feet
Total Number of revolutions = v
Total Distance travelled = Distance travelled in 1 Revolution * Number of revolutions
Also, Distance travelled in 1 revolution = Circumference of the wheel = 2*π*r = 2π
Total Distance travelled =v = 2π * 500= 3140
Answer: Option D Would you please explain the highlighted part? Circumference= 2π No. Of revolutions= v Total Distance travelled = Distance travelled in 1 Revolution * Number of revolutionsI.e. 500 = 2π*v i.e. v = 80 I hope it helps!!! Posted from my mobile device
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Originally posted by GMATinsight on 20 Nov 2017, 06:42.
Last edited by GMATinsight on 20 Nov 2017, 08:15, edited 1 time in total.



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Re: The radius of a unicycle wheel is 1 foot. When the unicycle travels [#permalink]
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20 Nov 2017, 06:47
GMATinsight wrote: TaN1213 wrote: GMATinsight wrote: Radius = 1 foot
Distance travelled = 500 feet
Total Number of revolutions = v
Total Distance travelled = Distance travelled in 1 Revolution * Number of revolutions
Also, Distance travelled in 1 revolution = Circumference of the wheel = 2*π*r = 2π
Total Distance travelled =v = 2π * 500= 3140
Answer: Option D Would you please explain the highlighted part? Circumference= 2π No. Of revolutions= 500 Total Distance travelled = Distance travelled in 1 Revolution * Number of revolutionsI.e. total distance = 2π*500 = 1000π= 1000*3.14= 3140 I hope it helps!!! Posted from my mobile devicePlease note that the number of revolutions is “v” and not 500. 500 is the distance travelled and hence we have to find the revolutions. Hence v=500/(2.pi) ~80. Option A Posted from my mobile device
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The radius of a unicycle wheel is 1 foot. When the unicycle travels [#permalink]
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20 Nov 2017, 06:49
GMATinsight wrote: Circumference= 2π No. Of revolutions= 500Total Distance travelled = Distance travelled in 1 Revolution * Number of revolutionsI.e. total distance = 2π*500 = 1000π= 1000*3.14= 3140 I hope it helps!!! Posted from my mobile deviceNo. Of revolutions= v  as per the question and we need to find 'v' not the total distance traveled (if that's not stated by the fact given in the question that distance is 500)
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Re: The radius of a unicycle wheel is 1 foot. When the unicycle travels [#permalink]
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20 Nov 2017, 07:02
If the radius is 1 foot, the circumference of the wheel is 2*radius*pi, which is 2*pi which is approximately 6.28.
If it travels 500 feet, and you want the revolutions, 500/6.28 is approximately 79.6, which should get answer A.



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Re: The radius of a unicycle wheel is 1 foot. When the unicycle travels [#permalink]
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22 Nov 2017, 12:09
Bunuel wrote: The radius of a unicycle wheel is 1 foot. When the unicycle travels continuously in one direction for 500 feet, the wheel makes v revolutions. Of the following, which is the best approximation to v?
(A) 80 (B) 160 (C) 310 (D) 3,140 (E) 6,280 Since the radius of the wheel is 1 foot, the circumference is 2π(1) ≈ 3.14 x 2 = 6.28 ≈ 6 So in 500 feet, the wheel makes approximately 500/6 = 83.33 or about 80 revolutions. Answer: A
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