1) Mass and moment of inertia Disc 1 Fig. 1-A disc attached to a pulley and accelerated by a falling mass Our group of p

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1 Mass And Moment Of Inertia Disc 1 Fig 1 A Disc Attached To A Pulley And Accelerated By A Falling Mass Our Group Of P 1 (43.9 KiB) Viewed 33 times

1) Mass and moment of inertia Disc 1 Fig. 1-A disc attached to a pulley and accelerated by a falling mass Our group of physics students want to see how mass is related to the moment of inertia for a set of spinning discs. They borrow a rotary motion sensor and two aluminum discs from the physics lab and construct the setup in Figure 1. They attach disc 1 to the sensor which records the angular displacement (in rad) as a function of time (in s). A thin thread is attached to disc 1 and is looped over a pulley then attached to a hanging mass holder. As the mass is accelerated to the ground by the force of gravity, it generates a torque on disc 1 which causes it to have an angular acceleration. The students are able to calculate this angular acceleration (in rad/s²) as well as the value of the torque applied (in N-m) on disc 1 for different values of falling mass and record their data in Table 1. Falling mass They then repeat the experiment with disc 2 added on top of disc 1 for a double disc setup and also record that data in Table 1. Masses and diameter of the discs: M₁ = (0.107 +0.005) kg M₂ = (0.106 ± 0.005) kg D₁ D₂ = (89.2 ± 0.8) mm =
Graph 1: (3 pts) Using the data from the experimental details Table 1, plot a graph of the torque as a function of the angular acceleration for the single disc and double discs setups. You should show both plots on the same graph. Use the linear regression tool to fit your data and be sure to show the uncertainties of your linear fit data. You should also show your data table in your graph file by using the "print" function in Logger Pro (and not "print graph"). Be sure to give your graph an appropriate title that describes the data shown. NB. If you have trouble putting both plots on the same graph, you can create one graph for single disc and a second graph for double disc.
Table 1- Angular accelerations of single and double discs pulled by various forces Single disc Double discs Falling mass (kg) +0.0005 kg 0.0053 0.0078 0.0105 0.0130 0.0158 0.0183 Angular accel. (rad/s²) ± 2% 10.53 15.64 21.03 25.77 30.62 35.37 Torque (N-m) ± 2% 0.00124 0.00179 0.00238 0.00291 0.00349 0.00399 Angular accel. (rad/s²) ± 2% 5.47 8.09 10.97 13.47 16.15 18.65 Torque (N-m) ± 2% 0.00125 0.00183 0.00244 0.00301 0.00363 0.00418