Centripetal Force Skater Speed Question

AI Thread Summary
To find the speed of the skater's hands, the distance between them, 152 cm, is considered the diameter of the circle traced by their tips. The radius is therefore 76 cm. The angular velocity was correctly converted to 23.56 rad/s. Using the formula v = wr, where v is linear speed, w is angular velocity, and r is radius, the speed can be calculated. The discussion highlights the importance of correctly identifying the radius in circular motion problems.
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Homework Statement


A skater holds her arms outstretched as she spins at 225 rpm. What is the speed of her hands if they are 152 cm apart?

The Attempt at a Solution


I converted 225 rpm to 3.57 rps and found the angular velocity (23.56 rad/s) to plug into the equation v=wr, but it didn't work. What would that distance between her hands be considered? I bet this is rediculously easy but I can't figure it out! Thanks in advance!
 
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As she spins, the tips of her hands trace out a circle, the diameter of which is the distance between her two hands.
 
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Ah thank you!
 

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