PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
During an experiment, a student records the angular position of a rotating disk at equal time intervals, including measurement uncertainties. The results are shown.
Time t (s): 0.0 0.50 1.00 1.50 2.00
Angular position θ±σθ (rad): 0.00 ± 0.02 0.42 ± 0.02 0.88 ± 0.02 1.36 ± 0.02 1.86 ± 0.02
(σθ represents the uncertainty in each θ measurement.)
(a) Using the data, calculate the average angular velocity of the disk for each 0.50s interval and the associated uncertainty for each value.
(b) From your results in part (a), compute the average angular acceleration of the disk over the 2.00s experiment. Propagate the uncertainties to find the uncertainty in the angular acceleration.
(c) The manufacturer of the apparatus claims the disk should rotate with a constant angular velocity. Evaluate this claim by comparing the magnitude of your calculated angular acceleration with its uncertainty. State clearly whether the data support or contradict the manufacturer’s claim.
(d) Suggest one improvement to the experimental procedure that could reduce the relative uncertainty in the angular acceleration measurement, and briefly explain how it would accomplish this.