Problem 32P

The length of a simple pendulum is 0.760 m, the pendulum bob has a mass of 365 grams, and it is released at an angle of 12.0° to the vertical. (a) With what frequency does it vibrate? Assume SHM. (b) What is the pendulum bob’s speed when it passes through the lowest point of the swing? (c) What is the total energy stored in this oscillation, assuming no losses?

SolutionStep 1Mathematical expression for coefficient of performance of a refrigerator The coefficient of performance of a refrigerator is the ratio of useful cooling to the work provided. We can write it as, COP = Q / W--------- (1) Cooling C Where, Q - AmCnt of heat energy extracted from cold reservoir W- Work done to withdraw heat from cold reservoir to hot reservoir. We know that, the work done, W = Q - Q -----H--- C) Where, Q - AmHnt of heat energy exhausted to hot reservoir Therefore, COP CoolingQ C(Q -H )-C------- (3) Or, we can write, COP Cooling TC (T HT )C--------(4) Where, T - tCperature of cold reservoir TH temperature of hot reservoir