Finding the period of an object moving in horizontal circle

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Homework Help Overview

The problem involves a mass suspended from a string that revolves in a horizontal circle, requiring the determination of the speed and period of revolution. The context is centered around circular motion and the forces acting on the mass.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between the velocity and the angle θ, questioning the correctness of the original poster's calculations and the alternative expression provided for velocity.

Discussion Status

The discussion is ongoing, with participants examining the validity of different expressions for velocity and seeking clarification on their equivalence. There is no explicit consensus yet, but some guidance has been offered regarding the interpretation of the equations.

Contextual Notes

Participants are navigating potential misunderstandings regarding the trigonometric relationships involved, particularly in relation to the angle θ and its impact on the calculations.

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.

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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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fontseeker said:
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.
 
NFuller said:
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?
 
Tan = sin/cos
 

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