With the help of a winch, a load weighing 1 ton is lifted to a height of 5 meters. Calculate the robot that needs to be made

| June 19, 2021 | education

With the help of a winch, a load weighing 1 ton is lifted to a height of 5 meters. Calculate the robot that needs to be made for this lift if the efficiency of the winch is 75%. How long will one person have to spend on this lift if he develops a power of 0.2 hp?

m = 1 t = 1000 kg.

g = 10 m / s2.

h = 5 m.

Efficiency = 75%.

Nc = 0.2 hp = 147 W.

Az -?

t -?

Efficiency = Ap * 100% / Az.

Az = Ap * 100% / efficiency.

Useful work when lifting a load Ap is expressed by the formula: Ap = m * g * h.

Az = m * g * h * 100% / efficiency.

Az = 1000 kg * 10 m / s2 * 5 m * 100% / 75% = 66666.6 J.

Power Nz is the speed of performing mechanical work: Nz = Az / t.

t = Az / Nz.

t = 66666.6 J / 147 W = 453.5 s.

Answer: the work expended by a person is Az = 66666.6 J, the time for lifting the load is t = 453.5 s.



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