(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

Fc = mv^2 / R

W=mg

3. 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.

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

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