How do you find centripetal force without knowing velocity?

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SUMMARY

The discussion focuses on calculating centripetal force for a tetherball system with a rope length of 2 meters and a 30-degree angle below the horizontal. The mass of the ball is 0.5 kg. Participants emphasize the importance of drawing a force diagram to visualize the forces acting on the ball, including gravitational and tension forces. The centripetal force is identified as the net radial force, which can be determined by resolving the components of the weight in both radial and tangential directions.

PREREQUISITES
  • Understanding of centripetal force and its formula: F(centripetal) = mv²/r
  • Knowledge of gravitational force: F(gravity) = m*a
  • Ability to draw and interpret force diagrams
  • Familiarity with basic trigonometry to resolve forces at angles
NEXT STEPS
  • Learn how to draw and analyze force diagrams in physics
  • Study the concept of tension in strings and ropes in circular motion
  • Explore the relationship between mass, radius, and velocity in centripetal motion
  • Investigate the effects of different angles on centripetal force calculations
USEFUL FOR

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

annamarie424
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Homework Statement



A tetherball goes around the pole at a constant velocity. The rope has a 2m length, makes a 30 degree angle below the horizon and the ball's mass is .5 kg.

Homework Equations



F(gravity)=m*a

F(centripetal)=mv^2/r

The Attempt at a Solution


I'm stuck at trying to find centripetal force.
 
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annamarie424 said:

Homework Statement



A tetherball goes around the pole at a constant velocity. The rope has a 2m length, makes a 30 degree angle below the horizon and the ball's mass is .5 kg.

Homework Equations



F(gravity)=m*a

F(centripetal)=mv^2/r

The Attempt at a Solution


I'm stuck at trying to find centripetal force.
Hello annamarie424. Welcome to PF !

Find it from the centripetal force, which is the component of the force producing the circular motion.
 
Hi annamarie424 - Draw a force diagram showing the pole vertically with the ball and string making a 30 degree angle. Draw on the forces acting on the ball. In this view the ball isn't moving (eg it's not falling down, nor is it rising up) so some of the forces are in balance (eg they sum to zero).

If you are still stuck try putting your diagram on an image hosting site and providing a link. Once you have made 10 (?) posts on this forum you can upload images directly.
 
Note it's not really a tetherball, the rope is not winding around the pole, instead the rope is attached to a frictionless pivot and the length (2 m) and angle (30 °) remain constant.
 
centripetal force in this case is just the net radial force. Take some tension T in the rope and resolve the components of the weight in radial and tangential directions.
 

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