A "swing" ride at a carnival consists of chairs that are swung in a circle by 19.6 m cables attached to a vertical rotating pole, as the drawing shows. Suppose the total mass of a chair and its occupant is 250 kg. (a) Determine the tension in the cable attached to the chair. (b) Find the speed of the chair.

Explanation:

Given that,

Length of the cable is 19.6 m, l = 19.6 m

Let us assume that the angle with vertical rotating pole is 62.5 degrees.

The total mass of a chair and its occupant is 250 kg.

(a) Let T is the tension in the cable attached to the chair. So,

(b) The centripetal acceleration is balanced by :

Hence, this is the required solution.

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