Finding the period of an object moving in horizontal circle

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fontseeker

Homework Statement


A small mass m is suspended from a string of length L. The body revolves in a horizontal circle of radius R with a constant speed v. Find the speed of the body and the period of the revolution.

media%2F4d8%2F4d8de872-1929-425e-ace8-beead5259cb2%2Fphp2ifwFR.png


Homework Equations



ΣFx = Tx = mV^2/r
Period = (2πr)/V

The Attempt at a Solution



IMG_4437.jpg


However, I was told that the velocity is actually √(g*L*Cos(θ)) / tan(θ). Why is my answer incorrect?
 
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Answers and Replies

  • #2
However, I was told that the velocity is actually √(g*L*Cos(θ)) / tan(θ). Why is my answer incorrect?
Your answer looks correct. If ##\text{tan}(\theta)## is inside the square root, which I assume it should be, then the given answer is identical to yours.
 
  • #3
fontseeker
Your answer looks correct. If ##\text{tan}(\theta)## is inside the square root, which I assume it should be, then the given answer is identical to yours.
Could you please explain how the answer is identical?
 
  • #4
CWatters
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Tan = sin/cos
 

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