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Initially only data is collected for the RMS. Then, a thick black ring with a known mass and dimensions is centered on the RMS and
Initially only data is collected for the RMS. Then, a thick black ring with a known mass and dimensions is centered on the RMS and data for the combination is collected. In both cases, the pulley the string is wound around has a radius of r=0.02385 m.
Ring Mass (kg) 0.46647 Inner Diameter (cm) 5.31 Outer Diameter (cm) 7.64 RMS Mass and Accelerations RMS+Ring Mass and Accelerations Hanging Mass (kg) Acceleration (m/s) Angular Acceleration (rad/s2) Hanging Mass (kg) Acceleration (m/s) Angular Acceleration (rad/s2) 0.02 0.698 29.234 0.02 0.167 6.981 0.02 0.656 27.489 0.02 0.167 6.981 0.02 0.687 28.798 0.02 0.167 6.981 0.03 1.01 42.324 0.03 0.24 10.036 0.03 0.99 41.452 0.03 0.229 9.599 0.03 1 41.888 0.03 0.24 10.036 0.04 1.313 54.978 0.04 0.323 13.526 0.04 1.302 54.542 0.04 0.312 13.09 0.04 1.302 54.542 0.04 0.323 13.526 0.05 1.594 66.759 0.05 0.396 16.581 0.05 1.573 65.886 0.05 0.406 17.017 0.05 1.573 65.886 0.05 0.406 17.017 0.06 1.844. 77.231 0.06 0.469 19.635 0.06 1.844 77.231 0.06 0.469 19.635 0.06 1.844 77.231 0.06 0.479 20.071 Using the dimensions and the mass of the ring in the table, calculate the moment of inertia of the ring with units of kg*m? Note: The answer is going to be relatively small and best expressed in scientific notation with a power of 10-4 However, Canvas will not allow enough precision when entering numerical answers in scientific notation. When entering the value, use the following format X.xxx and do not include 104 Example: 2.468 x 10-4 should be entered as 2.468. Using the coefficients from the plot of Angular Acceleration of the RMS+Ring VS Torque, determine the moment of inertia of the ring. Hint: be sure to read the procedure. Enter your value in 3 decimal places, using units of kg*m? Note: The answer is going to be relatively small and best expressed in scientific notation with a power of 10-4 However, Canvas will not allow enough precision when entering numerical answers in scientific notation. When entering the value, use the following format X.xxx and do not include 10-4 Example: 2.468 x 10-4 should be entered as 2.468. The two different methods used to determine the moment of inertia of the ring should yield similar results. Determine the percent difference using (A-B) (A+B) 2 100 to verify the results are similar and enter the numeric value to two decimal places. Ring Mass (kg) 0.46647 Inner Diameter (cm) 5.31 Outer Diameter (cm) 7.64 RMS Mass and Accelerations RMS+Ring Mass and Accelerations Hanging Mass (kg) Acceleration (m/s) Angular Acceleration (rad/s2) Hanging Mass (kg) Acceleration (m/s) Angular Acceleration (rad/s2) 0.02 0.698 29.234 0.02 0.167 6.981 0.02 0.656 27.489 0.02 0.167 6.981 0.02 0.687 28.798 0.02 0.167 6.981 0.03 1.01 42.324 0.03 0.24 10.036 0.03 0.99 41.452 0.03 0.229 9.599 0.03 1 41.888 0.03 0.24 10.036 0.04 1.313 54.978 0.04 0.323 13.526 0.04 1.302 54.542 0.04 0.312 13.09 0.04 1.302 54.542 0.04 0.323 13.526 0.05 1.594 66.759 0.05 0.396 16.581 0.05 1.573 65.886 0.05 0.406 17.017 0.05 1.573 65.886 0.05 0.406 17.017 0.06 1.844. 77.231 0.06 0.469 19.635 0.06 1.844 77.231 0.06 0.469 19.635 0.06 1.844 77.231 0.06 0.479 20.071 Using the dimensions and the mass of the ring in the table, calculate the moment of inertia of the ring with units of kg*m? Note: The answer is going to be relatively small and best expressed in scientific notation with a power of 10-4 However, Canvas will not allow enough precision when entering numerical answers in scientific notation. When entering the value, use the following format X.xxx and do not include 104 Example: 2.468 x 10-4 should be entered as 2.468. Using the coefficients from the plot of Angular Acceleration of the RMS+Ring VS Torque, determine the moment of inertia of the ring. Hint: be sure to read the procedure. Enter your value in 3 decimal places, using units of kg*m? Note: The answer is going to be relatively small and best expressed in scientific notation with a power of 10-4 However, Canvas will not allow enough precision when entering numerical answers in scientific notation. When entering the value, use the following format X.xxx and do not include 10-4 Example: 2.468 x 10-4 should be entered as 2.468. The two different methods used to determine the moment of inertia of the ring should yield similar results. Determine the percent difference using (A-B) (A+B) 2 100 to verify the results are similar and enter the numeric value to two decimal places
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