Question

8. Давление в гидравлической машине 900 кПа. На меньший поршень действует сила Давление в гидравлической машине 900кПа.На меньше поршень действует сила 150 H. Площадь большого поршня 0,04 м а) вычислите силу, действующую на большой поршень. [2] b) Вычислите, какой выигрыш в силе дает гидравлическая машина.ДАЮ 50 БАЛОВ

Answer 1

Ответ: 36кН; 240раз

Объяснение:

Дано:

Р=900кПа=900000Па

F1=150Н

S2=0,04м²

----------------

F2-?; k-?

F1/S1=F2/S2

F2=F1*S2/S1

P=F1/S1

S1=F1/P=150/900000=1,6667*10⁻⁴м²

F2=150*0,04/1,6667*10⁻⁴=36000Н=36кН

k=F2/F1=36000/150=240раз

Answer 2

Hydraulic Machine Calculation

To calculate the force acting on the larger piston and determine the force advantage provided by the hydraulic machine, we can use the principles of Pascal's law.

Given: - Pressure in the hydraulic machine: 900 kPa - Force acting on the smaller piston: 150 H - Area of the larger piston: 0.04 m²

Calculating the Force on the Larger Piston

The force acting on a piston can be calculated using the formula:

Force = Pressure x Area

Using this formula, we can calculate the force acting on the larger piston:

Force on the larger piston = Pressure x Area

Substituting the given values:

Force on the larger piston = 900 kPa x 0.04 m²

To perform the calculation, we need to convert the pressure from kilopascals (kPa) to pascals (Pa) since the area is given in square meters (m²).

1 kPa = 1000 Pa

Converting the pressure:

900 kPa = 900,000 Pa

Now we can calculate the force on the larger piston:

Force on the larger piston = 900,000 Pa x 0.04 m²

Calculating the result:

Force on the larger piston = 36,000 N

Therefore, the force acting on the larger piston is 36,000 Newtons.

Calculating the Force Advantage of the Hydraulic Machine

The force advantage of a hydraulic machine is determined by the ratio of the areas of the pistons. In this case, the force advantage can be calculated using the formula:

Force Advantage = Area of Larger Piston / Area of Smaller Piston

Substituting the given values:

Force Advantage = 0.04 m² / (Area of Smaller Piston)

To find the area of the smaller piston, we need to calculate it using the force acting on it:

Area of Smaller Piston = Force on Smaller Piston / Pressure

Substituting the given values:

Area of Smaller Piston = 150 H / 900 kPa

Converting the pressure from kilopascals (kPa) to pascals (Pa):

900 kPa = 900,000 Pa

Now we can calculate the area of the smaller piston:

Area of Smaller Piston = 150 H / 900,000 Pa

Calculating the result:

Area of Smaller Piston = 0.0001667 m²

Substituting this value back into the formula for force advantage:

Force Advantage = 0.04 m² / 0.0001667 m²

Calculating the result:

Force Advantage = 240

Therefore, the hydraulic machine provides a force advantage of 240.

In summary: - The force acting on the larger piston is 36,000 Newtons. - The hydraulic machine provides a force advantage of 240.

Please note that the calculations provided are based on the given information and assumptions about the hydraulic system.