Question

Кран поднимает груз массой 2т на 25 метров за 2 минуты. Найдите механическую мощность подъёмного устройства

Answer 1

Дано m=2000 кг    h=25 м    t=120с     N- ?

N=A/t=m*g*h/t=2000*10*25/120=4,17 кВт

Answer 2

Calculating Mechanical Power for Lifting Device

To calculate the mechanical power of the lifting device, we can use the formula:

Power (P) = Work (W) / Time (t)

Where: - Work (W) = Force (F) * Distance (d) - Force (F) = Mass (m) * Acceleration due to gravity (g)

Given: - Mass (m) = 2 tons = 2000 kg - Distance (d) = 25 meters - Time (t) = 2 minutes = 120 seconds

Calculating Force

The force required to lift the mass can be calculated using the formula:

Force (F) = Mass (m) * Acceleration due to gravity (g)

The acceleration due to gravity (g) is approximately 9.81 m/s^2.

Using this information, we can calculate the force.

Calculating Work

The work done in lifting the mass can be calculated using the formula:

Work (W) = Force (F) * Distance (d)

By calculating the force and using the given distance, we can find the work done.

Calculating Mechanical Power

Finally, we can use the work and time values to calculate the mechanical power of the lifting device using the formula:

Power (P) = Work (W) / Time (t)

Let's calculate the force, work, and mechanical power using the given values.