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**1. The string of a conical pendulum is 1m long. An initial speed of 3m/s causes the bob to describe a horizontal circle. Find the inclination of the string to the vertical and the time of revolution.**

*The answers at the back give 50.1 and 1.6s*

I'm trying to find the angle that the string makes with the vertical (I've called it A)

I have constructed 2 equations after making a fbd or the pendulum.

(1) TcosA=mg

(2) T=mLw^2

These give me equation 3, by replacing Tension in equation 1 then the masses cancel out.

(3) cosA=g/Lw^2

I put my numbers in

cosA=9.81/1*3^2

cosA=9.81/9

cosA=1.09

I cant see where I'm going wrong.

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