To raise grain to a height of 10 m, a 4 kW conveyor was installed. What mass of grain can be raised

To raise grain to a height of 10 m, a 4 kW conveyor was installed. What mass of grain can be raised with its help during = 8 hours of operation, if the efficiency of the installation is 13.6%?

h = 10 m.

g = 9.8 m / s2.

Ns = 4 kW = 4000 W.

t = 8 h = 28800 s.

Efficiency = 13.6%.

Efficiency coefficient Efficiency shows what part of the spent work Az, expressed as a percentage, goes into useful Ap: Efficiency = Ap * 100% / Az.

We will express the useful work An by the formula: An = m * g * h, where m is the mass of the grain that was lifted, g is the acceleration of gravity, h is the height of the grain.

The expended work Az will be expressed by the formula: Az = Nz * t, where Nz is the power of the conveyor, t is the operating time of the conveyor.

Efficiency = m * g * h * 100% / Nc * t.

The mass m of the raised grain will be expressed by the formula: m = Nz * t * efficiency / g * h * 100%.

m = 4000 W * 28800 s * 13.6% / 9.8 m / s2 * 10 m * 100% = 159869 kg.

Answer: the conveyor can lift m = 159869 kg of grain.