How to Calculate Tension in a String for a Conical Pendulum?

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To calculate the tension in a string for a conical pendulum, the key factors include the mass of the bob, the radius of the circular motion, and the gravitational force. The formula for tension involves the weight of the bob, which is determined by multiplying its mass by the acceleration due to gravity (9.81 m/s²). Additionally, the angles formed by the conical pendulum must be considered, requiring the use of trigonometric functions such as cosine and sine. The circumference of the circular path is calculated, but it does not directly factor into the tension without considering these angles. Understanding these concepts is crucial for deriving the correct tension in the string.
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Homework Statement



Calculate the tension in a 3m string attached to a 3kg bob that is moving in horizontal circles of a 0.6m radius

Homework Equations



The only formula i have been able to find is tension = mass1 w2 with w2 being the circumfance but this does not that into account gravity or the length of the string

The Attempt at a Solution



i know the circumfance is .6 x 2 x pie which is 3.7692 but should this figure be timesed by gravity? I've spent 2 hours looking for other formulas but have had no luck. Excuse the less than great english. I am not so much after an answer but a way of getting there

Thanks
 
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Hi ,

Hints
1. Only the mass of the object needs to be multiplied by gravity to get its "weight" g = 9.81ms^2

2. You need be using COS + SIN of the angles made by the conical pendulum .
 
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