What is the Speed and Tension of a Swing Ride?

[keemosabi]

Homework Statement

A "swing" ride at a carnival consists of chairs that are swung in a circle by 12.0 m cables attached to a vertical rotating pole, as the drawing shows. (θ = 55.5°) Suppose the total mass of a chair and its occupant is 192 kg.


(a) Determine the tension in the cable attached to the chair.
N
(b) Find the speed of the chair.
m/s

Homework Equations

Fc = mv^r

The Attempt at a Solution

Ty = Fg
Ty = 9.8 * 192
Ty = 1881.6 N
T = 1881.6/sin 34.5
T = 3321.997

Fc = Tx
Fc = 3321.997 cos 34.5
Fc = 2737.74
Fc = mv^2/r
2737.74 = 192(v^2)/12
v = 13.081

The first part was right but what did I do wrong in the second part?

 

[tiny-tim]

Hi keemosabi!

Fc = mv^2/r
2737.74 = 192(v^2)/12

erm … 12 isn't the radius.

 

[keemosabi]

Hi keemosabi!


erm … 12 isn't the radius.

Is it 12 sin 55.5?

 

[LogicalTime]

Is it 12 sin 55.5?

yep!