A bucket of sand weighing 32 kg is raised evenly with a fixed block to a height of 8 m, acting

A bucket of sand weighing 32 kg is raised evenly with a fixed block to a height of 8 m, acting on the rope with a force of 1600 N. Determine the efficiency of the installation.

To find out the efficiency of a given installation, consider the following formula: η = Apol. / Azatr. = ΔEpv / (F * S) = mw * g * h / (F * h) = mw * g / F (we take into account that for a fixed block h = S).

Const: g – acceleration due to gravity (g ≈ 9.81 m / s2).

Data: mw is the mass of a bucket of sand (mw = 32 kg); F is the force acting on the rope (F = 1600 N).

Let’s perform the calculation: η = mw * g / F = 32 * 9.81 / 1600 = 0.1962.

Answer: The efficiency of the given installation is 19.62%.