How do you find centripetal force without knowing velocity?

AI Thread Summary
To find the centripetal force of a tetherball moving in a circular path, one must analyze the forces acting on the ball, particularly focusing on the tension in the rope and the gravitational force. A force diagram is recommended, illustrating the 30-degree angle of the rope and the vertical pole. The centripetal force is derived from the net radial force, which involves resolving the weight of the ball into radial and tangential components. Understanding that the ball is not accelerating vertically helps clarify the balance of forces. This approach allows for the calculation of centripetal force without directly knowing the velocity.
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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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