What is the tangential speed of the ball?

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To determine the tangential speed of a 0.700 kg ball attached to a 0.60 m rope making a 70.0° angle with the vertical, it is essential to analyze the forces acting on the ball and apply Newton's second law. The ball experiences centripetal acceleration, which must be factored into the calculations. The relationship between tension and centripetal acceleration can be established by breaking the forces into components. By equating these relationships, the tangential speed can be calculated using the formula v = rw. Understanding these principles is crucial for solving the problem effectively.
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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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