What is the tangential speed of the ball?

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SUMMARY

The discussion centers on calculating the tangential speed of a 0.700 kg ball attached to a 0.60 m rope, which is rotating around a pole at a 70.0° angle from the vertical. The key equation used is v = rw, where 'v' represents tangential speed and 'r' is the radius of rotation. To solve for the tangential speed, one must analyze the forces acting on the ball, apply Newton's 2nd law, and consider the centripetal acceleration. By breaking down the forces into components and equating the tension with centripetal acceleration, the tangential speed can be determined.

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Homework Statement


A 0.700 kg ball is on the end of a rope that is 0.60 m in length. The ball and rope are attached to a pole and the entire apparatus, including the pole, rotates about the pole's symmetry axis. The rope makes an angle of 70.0° with respect to the vertical as shown. What is the tangential speed of the ball?
? m/s



Homework Equations


v=rw


The Attempt at a Solution



I know that in order to solve this problem I need to find time, but I'm not sure how to do that. I know that I need time to be abel to find w and that r=0.60m I think. Any help would be great. Thank you. There is a picture that is attached to help with the problem.
 

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Start by analyzing the forces that act on the ball. Apply Newton's 2nd law. Is the ball accelerating?
 
It has centripetal acceleration.Break the forces acting into components.You will get relation of T,and another relation with centripetal acc.Equate and u will get V.
 

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