Calculating Speed of a motion of a Circular Object

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Homework Help Overview

The discussion revolves around calculating the speed of a ball in a conical pendulum setup, where the ball moves in circular motion. The parameters include the length of the string, the angle of inclination, and the time taken for one complete revolution.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss deriving a symbolic equation for speed based on the geometry of the motion, specifically focusing on the radius of the circular path and the relationship between distance traveled and time.

Discussion Status

There are various attempts to calculate the speed, with some participants providing numerical values based on their calculations. However, there is no explicit consensus on the correctness of the results, as different values have been presented.

Contextual Notes

Some participants question the assumptions regarding the geometry of the motion, particularly the radius derived from the angle and string length. Additionally, there is mention of the lack of a visual aid that could clarify the setup.

Jordash
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Homework Statement



A conical pendulum is made of a ball on the end of a string, moving in circular motion as represented in the figure below. The length L of the string is 1.70 m, the angle θ is 37.0o, and the ball completes one revolution every 2.30 s.

Calculate the speed of the ball, by first deriving a symbolic equation and then inserting the
numbers.

Homework Equations





The Attempt at a Solution



I sort of know how to do this problem without the degrees.
 
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I can't see the picture, but I presume that it is rotating in a horizontal plane.

First of all you know that the ball is describing a circle that has a radius of L*Sin37°.

You know the time to complete a revolution ...
 
Alright, here is what I got

R=L*sin(37)

R=1
Diameter=2
Circumference=pi(2)

Circumference=6.3

Speed=Distance Traveled/Time

Speed=6.3m/2.3s

= 2.7m/s

Is that right?
 
Looks about right.

I get 1.02 m

and 6.41 and 2.79.
 

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