F = m * (0.85 Hz)^2 * 2πm = F / (0.85 Hz)^2 * 2π Calculate Mass of Skaters

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SUMMARY

The discussion focuses on calculating the mass of two identical ice skaters using the formula for frequency in circular motion, specifically f = (1/2π)√(k/m), where k is the spring constant of 650 N/m and f is the frequency of revolution at 0.85 Hz. The correct interpretation of mass in this scenario is crucial; it is not simply double the mass of one skater, as both skaters share the same circular motion dynamics. The participants clarify the relationship between spring constant and mass, emphasizing the need to consider the effective mass in the context of their rotational motion.

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Homework Statement


Two identical ice skaters are holding onto opposite ends of a very long spring with a spring constant of 650 N/m. While spinning in a circle, the skaters frequency of revolution is measured to be 0.85 Hz. What is the mass of the skaters?


Homework Equations


F = kx


The Attempt at a Solution


F = (650 N/m)x ?
 
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Remember, circular motion is the resultant of two perpendicular SHM with the same frequency and amplitude and phase difference of pi/2. ehild
 
Oh so then u use the equation
f=(1/2∏)√(k/m)
And the m needs to be 2m...ok got it!

Thank you!
 
No, m is not twice that of one skater-just the opposite.

Both skaters spin along the same circle. The situation is the same for each of them as if there was a pole at the centre, and half of the spring connected to the pole with one end and the other end to the skater. What is the spring constant of a halved spring?

ehild
 

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