Calculation Section For the calculations described below, write your answers to three significant figures, except for percent discrepancy. Always use un-rounded numbers to do all calculations. Attach a sheet showing your cal cul ations, and attach your DataStudio graphs, and turn them in when Lab AM is due. Calculations - Part II - Rotational Data - Part II-Rotational Inertia of rotating platform Middle pulley diameter 300 Inertia of rotating platform 300 g mass at 20.5 cm stop screw O2 m Rotational inertia kg-m2 g mass at 20.5 cm stop screw Friction correction mass 300 g mass at 4.5 cm stop screw Rotational inertia kg-m2 O.z8/rad/s2 Angular acceleration Table 4 300 g mass at 4.5 cm stop screw Friction correction mass Use the data from Table 2 to calculate the g initial and final angular momenta, and record in Table 5. Also calculate the percent discrepancy. Angular acceleration Table 1 C383 rad/s2 Data - Part III - Angular momentum conservation of rotating platform Calculations- Part III- Angular momentum conservation of rotating platform L (at 20.5 cm) L (at 4.5 cm) Percent Discrepancy (use L, as theoretical) O.28 rad/s 943 o (at 20.5 cm) rad/s Dp (at 4.5 cm) kg-m/s kg-m2/s Table 2 Data - Part IV - Angular momentum conservation of disk and ring Table 5 1.43 kg 1.44 kg Mass of disk Mass of ring Use the data from Table 3 to calculate the 228 /29 11 GSrad/s 0rad/s Diameter of disk m rotational inertia of the disk and ring. Remember to use radii and not diameters. Outer diameter of ring Inner diameter of ring m m Then calculate the angular momentum of the disk before dropping the ring, and the combined angular momentum of the disk and ring after dropping the ring. Calculate the percent discrepancy. Record in Table 6. o (before dropping ring) o (after dropping ring) Table 3 Use the data from Table 1 to find the rotational inertia of the platform with the 300 g mass in each position. For the hanging mass, remember to subtract the friction correction mass from 50 g (0.050 kg) in your calculation. Also, remember to use the pulley radius, not diameter. Record in Table 4. Calculations - Part IV- Angular momentum conservation of disk and ring Ldisk Iing L (before dropping ring) L (after dropping ring) Percent Discrepancy (use Las theoretical) kg-m2 kg-m2 kg-m2/s kg-m2/s % Table 6
Calculation Section For the calculations described below, write your answers to three significant figures, except for percent discrepancy. Always use un-rounded numbers to do all calculations. Attach a sheet showing your cal cul ations, and attach your DataStudio graphs, and turn them in when Lab AM is due. Calculations - Part II - Rotational Data - Part II-Rotational Inertia of rotating platform Middle pulley diameter 300 Inertia of rotating platform 300 g mass at 20.5 cm stop screw O2 m Rotational inertia kg-m2 g mass at 20.5 cm stop screw Friction correction mass 300 g mass at 4.5 cm stop screw Rotational inertia kg-m2 O.z8/rad/s2 Angular acceleration Table 4 300 g mass at 4.5 cm stop screw Friction correction mass Use the data from Table 2 to calculate the g initial and final angular momenta, and record in Table 5. Also calculate the percent discrepancy. Angular acceleration Table 1 C383 rad/s2 Data - Part III - Angular momentum conservation of rotating platform Calculations- Part III- Angular momentum conservation of rotating platform L (at 20.5 cm) L (at 4.5 cm) Percent Discrepancy (use L, as theoretical) O.28 rad/s 943 o (at 20.5 cm) rad/s Dp (at 4.5 cm) kg-m/s kg-m2/s Table 2 Data - Part IV - Angular momentum conservation of disk and ring Table 5 1.43 kg 1.44 kg Mass of disk Mass of ring Use the data from Table 3 to calculate the 228 /29 11 GSrad/s 0rad/s Diameter of disk m rotational inertia of the disk and ring. Remember to use radii and not diameters. Outer diameter of ring Inner diameter of ring m m Then calculate the angular momentum of the disk before dropping the ring, and the combined angular momentum of the disk and ring after dropping the ring. Calculate the percent discrepancy. Record in Table 6. o (before dropping ring) o (after dropping ring) Table 3 Use the data from Table 1 to find the rotational inertia of the platform with the 300 g mass in each position. For the hanging mass, remember to subtract the friction correction mass from 50 g (0.050 kg) in your calculation. Also, remember to use the pulley radius, not diameter. Record in Table 4. Calculations - Part IV- Angular momentum conservation of disk and ring Ldisk Iing L (before dropping ring) L (after dropping ring) Percent Discrepancy (use Las theoretical) kg-m2 kg-m2 kg-m2/s kg-m2/s % Table 6
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