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A conical pendulum consists of a 300 g ball suspended from a light, 1.0 m long,...

A conical pendulum consists of a 300 g ball suspended from a light, 1.0 m long, string. The ball is rotating in a circle such that the string makes an angle of 30° with the vertical. What is the speed of the ball?

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Answer #1

see the diagram :

T = tension

m = 300 g = 0.3 kg

L = length of string = 1m

r = radius of circular path =

let v be the speed.

The vertical component of tension balances the weight.

-----(i)

The horizontal component of tension provides necessary centripetal force.

   [answer]

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