Question

Площадь малого поршня равна 10 см2,а площадь большого поршня 150 см2. Какая сила действует на малый поршень ,если на большой поршень действует сила 15кН​

Answer 1

Дано:

S1=10 см2=0,001 м2

S2=150 см2=0,015 м2

F2=15 кН=15000 Н

F1-?

Решение:

F1/S1=F2/S2

F1=S1×F2/S2=0,001×15000/0,015=1000 Н

Ответ:F1=1000 Н.

Answer 2

Calculating the Force on the Small Piston

To calculate the force acting on the small piston when a force of 15 kN is applied to the large piston, we can use the principle of hydraulic systems, which states that the pressure is constant throughout the system. The formula for this calculation is:

Force = Pressure × Area

Given: - Area of the small piston (A1) = 10 cm^2 - Area of the large piston (A2) = 150 cm^2 - Force applied to the large piston = 15 kN

We can use the formula to find the force on the small piston:

Pressure1 = Pressure2 Force1 / Area1 = Force2 / Area2

Calculating the Force on the Small Piston

Using the formula: Force1 = (Force2 × Area1) / Area2

Substituting the given values: Force1 = (15 kN × 10 cm^2) / 150 cm^2

Result

Force1 = 1 kN

Therefore, the force acting on the small piston is 1 kN when a force of 15 kN is applied to the large piston.