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A boy swings a rubber ball attached to a string over his head in a horizontal, circular path. The piece of string is 1.15 m long and the ball makes 137 complete turns each minute. What is the tangential velocity of the ball

Respuesta :

Answer:

v = 16.49 m/s

Explanation:

Given that,

Length of the string, l = 1.15 m

The ball makes 137 complete turns each minute.

We know that, 1 turn = 6.28 rad

137 turns = 860.79 rad

1 min = 60 s

[tex]\omega=\dfrac{860.79\ rad}{60\ s}\\\\=14.34\ rad/s[/tex]

We need to find the tangential velocity of the ball. It can be given by

[tex]v=r\omega\\\\=1.15\times 14.34\\\\v=16.49\ m/s[/tex]

So, the tangential velocity of the ball is 16.49 m/s.

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