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# Circular motion angle watch

1. A mass of 9.50 kg is suspended from a 1.19 m long string. It revolves in a horizontal circle.
The tangential speed of the mass is 2.28 m/s. Calculate the angle between the string and the vertical.

My solution:

Let the angle between the string and the vertical be

------ (1)

------ (2)

Dividing (1) by (2),

So,

or

Rejecting , we get

Is this correct?

Thanks
2. yep, seems fine to me.
3. Yep, it's all good. Perhaps giving a reason why you are rejecting would be necessary (even though it is quite obvious...)
4. Minor quibble:

You've worked out 0.45 to 2 sig.fig. and then quoted your answer, theta, to 4!

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