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Rotational Dynamics 2

Rotational Dynamics 2 - ∆ω f =±.0052 Difference Total...

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Table A 1 2.10 1.55 1.37 11.6 2 2.12 1.49 1.39 6.7 3 2.10 1.36 1.37 0.7 4 2.24 1.42 1.47 3.5 5 1.05 0.64 0.69 7.8 6 1.19 0.71 0.78 9.9 7 2.02 1.27 1.32 3.9 8 1.50 0.94 0.98 4.3 9 1.27 0.83 0.83 0.0 10 1.24 0.77 0.81 5.2 Table B M disk 1.4353 kg R disk .1143 m I disk M ring 1.4191 kg I ring the ring would slide for an instant before "grabbing" and spinning with the same rev/s as the disk. We adjusted our experiment and waited until the sliding ceased before logging our final readings. This caused difference was less then 5.5% including the first run and less then 4.7% if you ignore the first run. ω i (rev/s) ∆ω i =±.005 Exp. ω f (rev/s) ∆ω f =±.005 Theor. ω f (rev/s)
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Unformatted text preview: ∆ω f =±.0052 % Difference Total Calc./Est. error ±.00005 kg ±.00005 m .00938 kg∙m 2 ±.000009 <- I disk =1/2MR 2 =1/2∙(1.4353kg)∙(.1143m) 2 ≈.00938kg∙m 2 ±.00005 kg R1 , R2 .0640 m .0538 m ±.00005 m .00496 kg∙m 2 ±.000017 <-I ring =1/2M(R1 2 +R2 2 )=1/2(1.4191kg)(.0640m 2 +.0538m 2 ) ≈.00496kg∙m 2 3. Our experimental findings were very similar to the calculated values for ω f . In the first run we noticed our new data to very closely mirror the theoretical values we calculated for ω f . Our average percentage...
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