Finding centripetal force of an object

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SUMMARY

The discussion focuses on calculating the centripetal force of a ball being whirled in a horizontal circle with a radius of 2.0 meters and a string tension of 12N at an angle of 10 degrees to the horizontal. To find the centripetal force, one must resolve the tension into its horizontal and vertical components. The mass of the ball is given as 200g, which is essential for calculating its speed and the period of revolution. A free body diagram is recommended for visualizing the forces acting on the ball.

PREREQUISITES
  • Understanding of centripetal force and its formula
  • Knowledge of trigonometric functions for resolving forces
  • Familiarity with free body diagrams
  • Basic physics concepts related to mass and acceleration
NEXT STEPS
  • Calculate centripetal force using the formula F_c = m * v^2 / r
  • Learn how to resolve forces using trigonometric functions, specifically sine and cosine
  • Determine the speed of the ball using the formula v = 2 * π * r / T
  • Explore the concept of period of revolution and its calculation in circular motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for practical examples of centripetal force calculations.

ajbwarrrior
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this is a question i have to do over the holidays and have no clue of how to do it.
i cannot access our school email in which i have the worked solutions to all the questions.

A ball is tied to a string and whirled in a horizontal circle radius of 2.0m. The string makes an angle of 10 degrees to the horizontal. The tension in the string is 12N.

a) what is the centripetal force acting on the ball?

b) if the mass of the ball is 200g what is its speed?

c) what is the period of revolution of the ball?

any help would be greatly appreciated.
 
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Here is a hint: Draw a free body diagram of the ball. Show the tension of 12N, the force due to gravity and the centripatal force. The 10 degres should help in doing this.
 

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