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What is the number of 360-degree rotations that a bicycle wheel made

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Bunuel
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What is the number of 360-degree rotations that a bicycle wheel made [#permalink] New post   01 Feb 2021, 13:39
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What is the number of 360-degree rotations that a bicycle wheel made while rolling 150 meters in a straight line without slipping?

(1) It took 3 minutes for the bicycle wheel to travel the entire distance.
(2) The wheel made twenty 360-degree rotations per minute.
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sthahvi
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Re: What is the number of 360-degree rotations that a bicycle wheel made [#permalink] New post   17 Feb 2021, 22:23
if someone can give the logic or the formula it would be helpful.
thanks
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Bacco361
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Re: What is the number of 360-degree rotations that a bicycle wheel made [#permalink] New post   18 Feb 2021, 10:45
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sthahvi wrote:
if someone can give the logic or the formula it would be helpful.
thanks


We are asked for the number of 360 rotations of the wheel:

Statement A: This gives us the time, but we don't know anything about the size of the wheel => Insuff.

Statement B: We know how many times the wheel spinned per minute, but we don't know anything about the time it took

Combined: We know 3 min. for the whole trip and 20 spins per minute so 60 for the entire trip Suff. => C
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sthahvi
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Re: What is the number of 360-degree rotations that a bicycle wheel made [#permalink] New post   18 Feb 2021, 10:52
Bacco361 wrote:
sthahvi wrote:
if someone can give the logic or the formula it would be helpful.
thanks


We are asked for the number of 360 rotations of the wheel:

Statement A: This gives us the time, but we don't know anything about the size of the wheel => Insuff.

Statement B: We know how many times the wheel spinned per minute, but we don't know anything about the time it took

Combined: We know 3 min. for the whole trip and 20 spins per minute so 60 for the entire trip Suff. => C

hello, thank you for the information, however could you please explain the formulas associated as well I think I am missing something, thank you for replying !
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Bacco361
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Re: What is the number of 360-degree rotations that a bicycle wheel made [#permalink] New post   18 Feb 2021, 11:26
sthahvi wrote:
Bacco361 wrote:
sthahvi wrote:
if someone can give the logic or the formula it would be helpful.
thanks


We are asked for the number of 360 rotations of the wheel:

Statement A: This gives us the time, but we don't know anything about the size of the wheel => Insuff.

Statement B: We know how many times the wheel spinned per minute, but we don't know anything about the time it took

Combined: We know 3 min. for the whole trip and 20 spins per minute so 60 for the entire trip Suff. => C

hello, thank you for the information, however could you please explain the formulas associated as well I think I am missing something, thank you for replying !

Hi for this particular problem you don't need any formulas, just use logic as described before. Formulas would be necessary if we need to calculate the circumference of the wheel (C=2πr) or the speed of the wheel. Both are not necessary to solve this particular problem.
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Re: What is the number of 360-degree rotations that a bicycle wheel made [#permalink]
18 Feb 2021, 11:26
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Bunuel
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