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Introductory Physics Homework Help
Calculating the mass of the wheel on a pendulum on a watch
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[QUOTE="NathanLeduc1, post: 4371798, member: 463172"] [h2]Homework Statement [/h2] The balance wheel of a watch is a thin ring of radius 0.95 cm and oscillates with a frequency of 3.10 Hz. If a torque of 1.1x10[SUP]-5[/SUP] Nm causes the wheel to rotate 45°, calculate the mass of the balance wheel. [h2]Homework Equations[/h2] I=mr[SUP]2[/SUP] T=(2π)sqrt(I/mgh) τ=-Kθ [h2]The Attempt at a Solution[/h2] I got an answer but it's wrong... Here's the work I did: 1.1e-5=-K(pi/2) K=-7.003e-6 19.5 rad/s = sqrt (7.003e-6/(M(0.0095m)[SUP]2[/SUP])) 380.25 rad/s[SUP]2[/SUP] = 7.003e-6 Nm / 9.025e-5m M M*0.0343 m/s[SUP]2[/SUP] = 7.003e-6 Nm m = 2.04e-4 kg The answer should be 0.41g (I realized just now that I took the square root of a negative number earlier. I tried to redo the problem but I'm still stuck...) Thanks! [/QUOTE]
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Calculating the mass of the wheel on a pendulum on a watch
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