एक द्रवचालित प्रेस में 15 cm व्यास का रैम और 1.5 cm का प्लंजर होता है। 1000 kg वजन उठाने के लिए इसकी आवश्यकता होती है। प्लंजर पर आवश्यक बल ____के बराबर है। 

Concept:

Pascal’s Law:

• It was given by Blaise pascal
• It is also known as principle of transmission of fluid pressure
• It states that the pressure change at any point in a confined incompressible fluid is transmitted throughout the fluid such that the same change occurs everywhere.
• Alternate definition:- The pressure applied to any part of the enclosed liquid will be transmitted equally in all directions through the liquid.

Applications:

• The underlying principle of hydraulic jack and hydraulic press.
• Force amplification in the braking system of most motor vehicles.
• Used in artesian wells, water towers and dams.

Calculation:

Given:

Diameter of plunger, d = 1.5 cm, Diameter of ram, D = 15 cm, weight exerted on the ram, F1 = 1000 kg

According to pascals law,

Pressure applied at plunger = Pressure exerted on the ram

\(\frac{{{F_1}}}{{{A_1}}} = \frac{{{F_2}}}{{{A_2}}}\)

\(\frac{{1000}}{{\frac{{\pi {D^2}}}{4}}} = \frac{{{F_2}}}{{\frac{{\pi {d^2}}}{4}}}\;\)

∴ \({F_2} = \frac{{{d^2}}}{{{D^2}}} \times 1000 = \frac{{{{1.5}^2}}}{{{{15}^2}}} \times 1000 = 10 ~kg\)

Here, F2 = force required on the plunger