Circular motion question

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aquaman34
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#1
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#1
Hello, please can someone provide me with a step by step solution for the following question, thanks:

A particle of mass m moves in a circle of radius r at uniform speed, taking time T for each revolution. What is the kinetic energy of the particle?
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Alexokay
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(Original post by aquaman34)
Hello, please can someone provide me with a step by step solution for the following question, thanks:

A particle of mass m moves in a circle of radius r at uniform speed, taking time T for each revolution. What is the kinetic energy of the particle?
Assuming it wants kinetic energy in terms of r and T and m:

- Angular velocity = 2pi / T

- Velocity = (2pi / T) * r

- Kinetic energy = 1/2 * m * ((2pi / T) * r)^2

I think this is correct?
Last edited by Alexokay; 2 years ago
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Sinnoh
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(Original post by aquaman34)
Hello, please can someone provide me with a step by step solution for the following question, thanks:

A particle of mass m moves in a circle of radius r at uniform speed, taking time T for each revolution. What is the kinetic energy of the particle?
We're not allowed to post full solutions - anyway, you'll learn better if you don't just copy out someone else's solution.

The only thing you need to work out first to get the kinetic energy is the particle's speed. You're told the time it takes for one revolution, so what's the distance it travels in one revolution?
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aquaman34
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below are the options on the mark scheme it says the answer is D, please can you tell me how, thanks
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Alexokay
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(Original post by aquaman34)
below are the options on the mark scheme it says the answer is D, please can you tell me how, thanks
Read my answer above, expand out the final bracket and put it all together.
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aquaman34
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(Original post by Alexokay)
Read my answer above, expand out the final bracket and put it all together.
Thank you so much for your help, i understand it now
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aquaman34
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#7
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(Original post by Sinnoh)
We're not allowed to post full solutions - anyway, you'll learn better if you don't just copy out someone else's solution.

The only thing you need to work out first to get the kinetic energy is the particle's speed. You're told the time it takes for one revolution, so what's the distance it travels in one revolution?
Thanks for your help I get the question now
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