The tractor lifts 240m ^ 3 gravel to a height of 6 m in 1 hour. Determine the engine power.

The tractor lifts 240m ^ 3 gravel to a height of 6 m in 1 hour. Determine the engine power. The density of gravel is 1700kg / m ^ 3.

t = 1 h = 3600 s.

V = 240 m ^ 3.

g = 9.8 m / s ^ 2.

h = 6 m.

ρ = 1700 kg / m ^ 3.

N -?

Power N is a physical quantity that shows the speed of performing mechanical work A.

Power is determined by the formula: N = A / t.

Job. And when lifting a load, it is determined by the formula: A = m * g * h.

We find the mass of the body by the formula: m = V * ρ.

The formula for determining the power will be: N = V * ρ * g * h / t.

N = 240 m ^ 3 * 1700 kg / m ^ 3 * 9.8 m / s ^ 2 * 6 m / 3600 s = 6664 W.

Answer: the tractor power is N = 6664 W.