4. In testing the power output of a certain brand of alternating-current motors, the results are obtained by measuring the rotational speed of the motor and its output torque through P = tw, where P is power in kW, r is torque in N-m, and w is angular speed in radians per second, related to the rpm (N, revolutions per minute) through w = 2TtN /60. As per the manufacturer's information, the accuracy of the torque meter is 10.7 N-m and the accuracy of w is 15 rpm. The values of the measured torque and rotational speed are 165 N-m and 3000 rpm, respectively. The standard deviations of these measurements are 4 N-m and 5 rpm, respectively. (a) Calculate the power of the engine. (b) If the number of samples used for calculating the standard deviation of the torque and speed are 10 and 20, respectively, calculate the standard deviations of the power. (c) Calculate the random and systematic uncertainty of the power. (d) Calculate the total uncertainty of each power measurement at a 95% confidence level