Analysis: 1. Based on the measurements you made, calculate the rotational inertias for the silver disk, thin black rod with the weights at either end, and thin black rod without weights. 2. Calculate the net torque on the system t = RF. R is the radius of the pulley from which the string unwraps, and F is the tension in the string. 3. Using the calculated net torque and rotational inertias, calculate the angular accelerations for each of the three experiments. 4. Plot the graphs of angle vs, time and angular velocity vs. time for each of your three experiments. 5. Using a smooth section of data on the angular velocity vs. time graphs, plot a best fit line for each experiment and find the slope of the line. This is the experimental value of angular acceleration. 6. Calculate the percent difference between your calculated angular acceleration and what you found from the best fit line for each of the three experiments. Conclusions and Discussion: 1. Discuss the results of your experiment. Did the calculated and measured values for angular acceleration match up well? 2. In this experiment, we assumed no friction in the pulleys or in the rotary motion sensor. Were these assumptions valid? 3. In this experiment, we assumed no rotational inertia in the pulleys or in the rotary motion sensor. Were these assumptions valid? 4. What are possible sources of error in the experiment? (No "human error", please!)Rotational Inertia - Data Sheet Physics 231 Name: Date: Basic Measurements 1. Mass of Silver disk (kg) Diameter of Silver disk (m) 2. Mass of Thin rod (without weights) (kg) 3. Mass of each weight on Thin Rod (kg) 4. Length of Thin Rod (m) 5. Calculated net Torque on system (N.m)_ Calculated Rotational Inertias 1. Silver disk (kg.m") 2. Thin rod (weights at both ends) (kg.m?) 3. Thin rod (no weights) (kg.m?) Calculated Angular Accelerations 1. Silver disk (rads/sec*] 2. Thin rod (weights at both ends) (rads/sec?) 3. Thin rod (no weights) (rads/sec?)_ Measured Angular Accelerations 1. Silver disk (rads/sec ) 2. Thin rod (weights at both ends) (rads/sec ) 3. Thin rod (no weights) (rads/sec) % Differences between Calculated and Measured Angular Accelerations 1. Silver disk 2. Thin rod (weights at both ends) 3. Thin rod (no weights)