A helicopter of total mass 3000 kg hovers steadily. Its rotor sweeps an effective area of 50 m². In a simplified model in which the rotor creates an approximately uniform pressure difference between its lower and upper sides, what average pressure difference is required for hovering? Take g = 10 m/s².
Options

Question

A helicopter of total mass 3000 kg hovers steadily. Its rotor sweeps an effective area of 50 m². In a simplified model in which the rotor creates an approximately uniform pressure difference between its lower and upper sides, what average pressure difference is required for hovering? Take g = 10 m/s².

Options

G1 Physics · Accepted Answer

For steady hovering, the net upward force must balance the helicopter weight. Therefore, ΔP A = mg. Hence, ΔP = mg/A. Substitute: m = 3000 kg, g = 10 m/s², A = 50 m². Thus, ΔP = 3000×10/50 = 600 Pa. Correct option: B.