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7. The following data were taken with a system like the one described in this laboratory. The path length of the falling mass was x = 1.434 m, and the radius of the hub around which the string was wrapped was r=0.040 m. For the values of mass m on the string listed, the times to accelerate the distance x are given in the table. Use these data to calculate the values for the acceleration a, the tension T, the torque t, and the angular acceleration z. Perform a linear least squares fit with t as the vertical axis and x as the horizontal axis. Record the slope as I the moment of inertia, the intercept as t, the frictional torque, and the correlation coefficient r. m (kg) 0.050 0.100 0.150 0.200 0.250 0.300 ty=. r= t (s) 10.60 7.40 6.10 5.20 4.60 4.20 kg-m² N-m a (m/s²) T (N) T (N-m) x (rad/s²)

7. The following data were taken with a system like the one described in this laboratory. The path length of the falling mass was x = 1.434 m, and the radius of the hub around which the string was wrapped was r=0.040 m. For the values of mass m on the string listed, the times to accelerate the distance x are given in the table. Use these data to calculate the values for the acceleration a, the tension T, the torque t, and the angular acceleration z. Perform a linear least squares fit with t as the vertical axis and x as the horizontal axis. Record the slope as I the moment of inertia, the intercept as t, the frictional torque, and the correlation coefficient r. m (kg) 0.050 0.100 0.150 0.200 0.250 0.300 ty=. r= t (s) 10.60 7.40 6.10 5.20 4.60 4.20 kg-m² N-m a (m/s²) T (N) T (N-m) x (rad/s²)

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7. The following data were taken with a system like the one described in this laboratory. The path length of the falling mass was x = 1.434 m, and the radius of the hub around which the string was wrapped was r=0.040 m. For the values of mass m on the string listed, the times to accelerate the distance x are given in the table. Use these data to calculate the values for the acceleration a, the tension T, the torque t, and the angular acceleration z. Perform a linear least squares fit with t as the vertical axis and % as the horizontal axis. Record the slope as I the moment of inertia, the intercept as t, the frictional torque, and the correlation coefficient r. m (kg) 0.050 0.150 0.100 0.200 0.250 I= 1 = 0.300 yf= t (s) 10.60 7.40 6.10 5.20 4.60 4.20 _kg-m² N-m a (m/s²) T (N) T (N-m) x (rad/s²)
Transcribed Image Text:7. The following data were taken with a system like the one described in this laboratory. The path length of the falling mass was x = 1.434 m, and the radius of the hub around which the string was wrapped was r=0.040 m. For the values of mass m on the string listed, the times to accelerate the distance x are given in the table. Use these data to calculate the values for the acceleration a, the tension T, the torque t, and the angular acceleration z. Perform a linear least squares fit with t as the vertical axis and % as the horizontal axis. Record the slope as I the moment of inertia, the intercept as t, the frictional torque, and the correlation coefficient r. m (kg) 0.050 0.150 0.100 0.200 0.250 I= 1 = 0.300 yf= t (s) 10.60 7.40 6.10 5.20 4.60 4.20 _kg-m² N-m a (m/s²) T (N) T (N-m) x (rad/s²)
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