Question

Подьемный кран должен в течении промежутка времени t=8,0 поднять груз массой m=3,0 *10 т на высоту h=9,0 м. Найдите мощность двигателя крана,если коффициент действия n=60%.....решите плиззз*

Answer 1

КПД = A1/А2

А1 = mgh 

A2 = Nt

КПД = 60% = 0,6

0,6 = mgh/Nt

g = 10 м/с²

N = mgh/0.6*t  = 3 000 * 10  * 9/8*0,6 = 56 250 Вт

если t = 8 c

h = 9 м

 

Answer 2

Calculation of Power of the Crane's Engine

To calculate the power of the crane's engine, we can use the formula:

Power = Work / Time

The work done by the crane is equal to the product of the force applied and the distance over which the force is applied. In this case, the force is equal to the weight of the load, and the distance is equal to the height the load is lifted.

Given: - Mass of the load (m) = 3.0 * 10^4 kg - Height of the lift (h) = 9.0 m - Efficiency or coefficient of performance (n) = 60%

First, let's calculate the work done by the crane:

Work = Force * Distance

The force can be calculated using the formula:

Force = Mass * Acceleration due to gravity

The acceleration due to gravity is approximately 9.8 m/s^2.

Force = 3.0 * 10^4 kg * 9.8 m/s^2

Now, let's calculate the distance:

Distance = Height of the lift

Now we can calculate the work:

Work = Force * Distance

Finally, we can calculate the power:

Power = Work / Time

Since the time is given as t = 8.0 seconds, we can substitute the values into the formula to find the power.

Please note that the efficiency or coefficient of performance (n) is not used in this calculation.

Let's perform the calculations:

Force = 3.0 * 10^4 kg * 9.8 m/s^2 = 2.94 * 10^5 N

Distance = 9.0 m

Work = Force * Distance = 2.94 * 10^5 N * 9.0 m = 2.646 * 10^6 J

Power = Work / Time = 2.646 * 10^6 J / 8.0 s = 3.3075 * 10^5 W

Therefore, the power of the crane's engine is approximately 330,750 W.

Please let me know if you need any further assistance!