The table below gives the initial angular speed, final angular speed, and the time interval for four different wheels subjected to constant angular acceleration. Wheel Initial speed (rpm) Final speed (rpm) Time (s) A 300 900 5 B 600 0 10 C 1200 1500 4 D 0 1200 10 Which wheel completes exactly 100 revolutions during its respective time interval?

Step-by-step solution

For a body undergoing constant angular acceleration, the number of revolutions N can be calculated using the average angular speed: N = Average speed in rev/s time in seconds N = ₀ + 2 60 t For Wheel A: N = 300 + 900 120 5 = 1200 120 5 = 50 revolutions For Wheel B: N = 600 + 0 120 10 = 600 120 10 = 50 revolutions For Wheel C: N = 1200 + 1500 120 4 = 2700 120 4 = 90 revolutions For Wheel D: N = 0 + 1200 120 10 = 1200 120 10 = 100 revolutions Therefore, Wheel D completes exactly 100 revolutions. Answer: Wheel D