How do you find centripetal force without knowing velocity?

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Homework Help Overview

The discussion revolves around determining the centripetal force acting on a tetherball moving in a circular path. The problem involves a tetherball with a mass of 0.5 kg, attached to a 2m long rope, which makes a 30-degree angle below the horizontal while moving at a constant velocity.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to analyze the forces acting on the ball, including gravity and tension in the rope. There are suggestions to draw a force diagram to visualize the balance of forces and to consider the components of these forces in relation to circular motion.

Discussion Status

Some participants have provided guidance on how to approach the problem by suggesting the use of a force diagram and the resolution of forces. There is an ongoing exploration of the relationship between the forces and the centripetal force without a direct calculation of velocity.

Contextual Notes

Participants note that the rope is attached to a frictionless pivot, which may influence the analysis of forces. The setup of the problem, including the angle and length of the rope, is also under consideration.

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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