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

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SUMMARY

The discussion focuses on calculating the tension in a string for a conical pendulum scenario involving a 3m string and a 3kg bob moving in horizontal circles with a radius of 0.6m. The key formula for tension is identified as T = m * g, where g is the acceleration due to gravity (9.81 m/s²). Participants emphasize the importance of incorporating trigonometric functions (cosine and sine) to account for the angles formed by the pendulum's motion. The correct approach involves understanding the relationship between tension, gravitational force, and the geometry of the pendulum.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of trigonometry (sine and cosine functions)
  • Familiarity with circular motion concepts
  • Ability to perform calculations involving gravitational force (g = 9.81 m/s²)
NEXT STEPS
  • Study the dynamics of conical pendulums and their tension calculations
  • Learn how to apply trigonometric functions in physics problems
  • Explore the relationship between mass, gravity, and tension in circular motion
  • Review examples of similar problems involving pendulums and forces
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators seeking to explain the principles of tension in pendulum systems.

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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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