Finding force exerted by a rope and ratio of tension:weight

[iamjohnny56]

Homework Statement

A 72.8 kg ice skater is moving at 5.01 m/s when she grabs the loose end of a rope, the opposite end of which is tied to a pole. She then moves in a circle of radius 0.765 m around the pole.

The acceleration of gravity is 9.8 m/s2 .
Find the force exerted by the rope on her arms.
Answer in units of kN = 2.3886108 kN

Find the ratio of this tension to her weight.

Homework Equations

Fc = mv^2 / R
W=mg

The Attempt at a Solution

Fc = mv^2 / R
Fc = (72.8)(5.01)^2 / .765
Fc = 2388.6108 N
Fc = 2.3886108 kN

It's the ratio that's getting me, shouldn't it just be:
2.3886108 kN / (72.8 x 9.8)
=.003348

But the ratio is wrong?

Please help.

 

[grzz]

The ratio is a comparison of two forces. But they must be in the SAME units!