A person lifts a load with a mass of m = 150 kg using a mechanism with an efficiency of 75%
| September 15, 2021 | education
A person lifts a load with a mass of m = 150 kg using a mechanism with an efficiency of 75%, while the load rises at a speed of 10 cm / s. Calculate the power that a person develops.
Initial data: m (cargo weight) = 150 kg; η (efficiency of the mechanism by which a person lifts a load) = 75% (0.75); V (lifting speed) = 10 cm / s (0.1 m / s).
Reference values: g (acceleration due to gravity) ≈ 10 m / s2.
The power that a person develops can be expressed from the formula for calculating the efficiency: η = Np / Ns = F * V / Ns = m * g * V / Ns, whence Ns = m * g * V / η.
Calculation: Ns = 150 * 10 * 0.1 / 0.75 = 200 W.
Answer: A person develops a power of 200 watts.
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