Question

Экскаватор поднимает ковш на высоту 2,5м за 10сек. Масса ковша с грунтом 2000кг. Определите мощность двигателя, развиваемую при подъеме нагруженного ковша

Answer 1

A(работа)=m(масса)*g(10Н/кг)*h(высота);

P(мощность)=A/t(время);

P=2000*2.5*10/10=50кДж

Answer 2

Calculating the Power Developed by the Excavator's Engine

To calculate the power developed by the excavator's engine when lifting the loaded bucket, we can use the formula:

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

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

Work done (W) = Force (F) × Distance (d)

Given: - Distance lifted (d) = 2.5 m - Time taken (t) = 10 seconds - Mass of the loaded bucket (m) = 2000 kg - Acceleration due to gravity (g) = 9.81 m/s^2

Calculating the Force Required to Lift the Loaded Bucket

First, we need to calculate the force required to lift the loaded bucket. The force can be calculated using the formula:

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

Substituting the given values: F = 2000 kg × 9.81 m/s^2

This gives us the force required to lift the loaded bucket.

Calculating the Work Done

Next, we can calculate the work done in lifting the loaded bucket using the formula:

Work done (W) = Force (F) × Distance (d)

Substituting the values we have: W = F × d

Calculating the Power Developed by the Engine

Finally, we can calculate the power developed by the excavator's engine using the formula:

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

Substituting the values we have: P = W / t

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

Calculations:

- Force (F) = 2000 kg × 9.81 m/s^2 = 19620 N- Work done (W) = Force (F) × Distance (d) = 19620 N × 2.5 m = 49050 J - Power (P) = Work done (W) / Time taken (t) = 49050 J / 10 s = 4905 W

Therefore, the power developed by the excavator's engine when lifting the loaded bucket is 4905 watts.