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1.) A disk of diameter 20 cm is rotating about its center axis. A point on the edge of the disk is found to have a tangential acceleration of 0.85

1.) A disk of diameter 20 cm is rotating about its center axis. A point on the edge of the disk is found to have a tangential acceleration of 0.85 m/s2 . What is the angular acceleration of the disk? 2.) A string is wrapped around a drum that has a radius of 3 cm. If a tension pulls on the drum with a magnitude of 2.5 N, what is the torque exerted on the drum? 3.) Calculate the moment of inertia of an oddly shaped rock that is observed to experience an angular acceleration of 1.4 rad/s^2 when a torque of 20 Nm is applied to the rockScreen Shot 2018-04-01 at 6.13.40 PM.pngScreen Shot 2018-04-01 at 6.14.15 PM.pngScreen Shot 2018-04-01 at 6.32.25 PM.png

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Data RING Trial Tangential Accel (m/s"2) Angular Accel. (rad/5‘2) Net torque (Nm) Moment of Inertia (kg m"2) Ring Mass (kg) 0.0047 1 0.067 0.599640 -0.123528 -0.206003 Ring Inner Radius (m) 0.111 2 0.064 0.574144 -0.123527 -0.215149 Ring Outer Radius (m) 0.016 3 0.068 0.609369 -0.123528 -0.202715 Drum Radius (m) 0.021 4 0.070 0.630360 -0.123529 -0.195966 m_f (kg) 0.703 5 0.071 0.642793 -0.123530 -0.192177 m_h (kg) 0.1029 6 0.065 0.589189 -0.123527 -0.209656 7 0.069 0.623333 -0.123529 -0.198175 8 0.071 0.637297 -0.123529 -0.193833 Average Moment of Inertia -0.20391 9 0.064 0.578468 -0.123527 -0.213541 Standard Deviation 0.00855 10 0.065 0.582883 -0.123527 -0.211924
Relative Uncertainty -4.19
Calculated Moment of Inertia 0.0000296
Discrepancy 0.00852
Relative Discrepancy 288.16

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Lab 9 — Moment of Inertia
POST LAB 1) Give two reasons BESIDES systematic measurement (“human” errors
that could explain any discrepancies between your average experimental
value and the calculated value of moment of inertia. 2) The string should be level with the table top as it stretches from the
drum of the rotation table to the pulley. Why is this important? 3) If you hung three times the mass off the side of the table, would you expect different results for the moment of inertia? If so, why? If not,
what would be different?

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