This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Convert angular velocities from revolutions per minute (rpm) to revolutions per second (rps). Initial angular velocity (_i): _i = 1200 rpm = 1200 revolutions60 seconds = 20 rps Final angular velocity (_f): _f = 4500 rpm = 4500 revolutions60 seconds = 75 rps The time taken (t) is 10 s. Step 2: Calculate the total angular displacement () using the average angular velocity. For constant angular acceleration, the total angular displacement can be found using the formula: = ((_i + _f)/(2)) t Substitute the values: = (20 rps + 75 rps2) × 10 s = (95 rps2) × 10 s = 47.5 rps × 10 s = 475 revolutions The number of revolutions is 475. 3 done, 2 left today. You're making progress.