How to calculate the time for one revolution in circular motion?

[MRD]

Homework Statement

The mass m = 10 kg and is attached to a string L = 0.027m, the mass moves in a circle and makes an angle of 32 deg. with the vertical, how long does it take to complete one revolution?

Homework Equations

radius = Lsin(angle)
v=2pi(r)/T
F= max (where F = Tx = -Ty)
-Ty = m(v^2/r)

The Attempt at a Solution

I tried solving for velocity with T = 1, is this right?
If the angle is wrt the vertical, does that mean I have to take 90 - the angle, inorder to change it wrt the horizontal and then use that angle to solve for radius?
Any help would be great. Thanks.

 

[Rake-MC]

What do you mean T = 1? Do you mean T as the period or the tension?
Yes, 90 - angle of vertical = angle from horizontal.

You say F = Tx = -Ty

Is T tension?
Why does Tx = -Ty?

 

[MRD]

T is the period
I was going to use -Ty to solve the equation if I do not change the angle
but so far I have tried to use the equation Fnet = ma
Fnet = Tsin angle = ma
a = v^2/r
r = Lsin angle
Tsin (angle) = m (v^2)/r(sin angle)^2 is this right?