Area at Point 2 using Pascal's Law Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area at Point 2 = Area at Point 1*(Force at Point 2/Force at Point 1)
A2 = A1*(F2/F1)
This formula uses 4 Variables
Variables Used
Area at Point 2 - (Measured in Square Meter) - Area at Point 2 is defined as the cross sectional area at point 2.
Area at Point 1 - (Measured in Square Meter) - Area at Point 1 is defined as the cross sectional area at point 1.
Force at Point 2 - (Measured in Newton) - Force at Point 2 is defined as the push or pull on an object with mass causes it to change its velocity at point 2.
Force at Point 1 - (Measured in Newton) - Force at Point 1 is defined as the push or pull on an object with mass causes it to change its velocity at point 1.
STEP 1: Convert Input(s) to Base Unit
Area at Point 1: 23 Square Meter --> 23 Square Meter No Conversion Required
Force at Point 2: 12.45 Newton --> 12.45 Newton No Conversion Required
Force at Point 1: 10.45 Newton --> 10.45 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A2 = A1*(F2/F1) --> 23*(12.45/10.45)
Evaluating ... ...
A2 = 27.4019138755981
STEP 3: Convert Result to Output's Unit
27.4019138755981 Square Meter --> No Conversion Required
FINAL ANSWER
27.4019138755981 27.40191 Square Meter <-- Area at Point 2
(Calculation completed in 00.004 seconds)

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University School of Chemical Technology-USCT (GGSIPU), New Delhi
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Pressure and its Measurement Calculators

Force at Point 1 using Pascal's Law
​ LaTeX ​ Go Force at Point 1 = Force at Point 2*(Area at Point 1/Area at Point 2)
Force at Point 2 using Pascal's Law
​ LaTeX ​ Go Force at Point 2 = Force at Point 1*(Area at Point 2/Area at Point 1)
Area at Point 1 using Pascal's Law
​ LaTeX ​ Go Area at Point 1 = Area at Point 2*(Force at Point 1/Force at Point 2)
Area at Point 2 using Pascal's Law
​ LaTeX ​ Go Area at Point 2 = Area at Point 1*(Force at Point 2/Force at Point 1)

Area at Point 2 using Pascal's Law Formula

​LaTeX ​Go
Area at Point 2 = Area at Point 1*(Force at Point 2/Force at Point 1)
A2 = A1*(F2/F1)

What is Fluid Mechanics?

Fluid dynamics is “the branch of applied science that is concerned with the movement of liquids and gases”. It involves a wide range of applications such as calculating force & moments, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space, and modelling fission weapon detonation.

What is Pascal’s Law?

The external static pressure applied on a confined liquid is distributed or transmitted evenly throughout the liquid in all directions. The static pressure acts at right angles to any surface in contact with the fluid. Pascal also found that the pressure at a point for a static fluid would be the same across all planes passing through that point in that fluid. Pascal’s law is also known as Pascal’s principle or principle of transmission of fluid-pressure. In 1653, Pascal law was stated by French mathematician Blaise Pascal.

How to Calculate Area at Point 2 using Pascal's Law?

Area at Point 2 using Pascal's Law calculator uses Area at Point 2 = Area at Point 1*(Force at Point 2/Force at Point 1) to calculate the Area at Point 2, The Area at Point 2 using Pascal's Law formula is defined as the function of area of point 1 and forces at both points. A consequence of the pressure in a fluid remaining constant in the horizontal direction is that the pressure applied to a confined fluid increases the pressure throughout by the same amount. This is called Pascal’s law, after Blaise Pascal (1623–1662). Pascal also knew that the force applied by a fluid is proportional to the surface area. He realized that two hydraulic cylinders of different areas could be connected, and the larger could be used to exert a proportionally greater force than that applied to the smaller. “Pascal’s machine” has been the source of many inventions that are a part of our daily lives such as hydraulic brakes and lifts. This is what enables us to lift a car easily by one arm. Area at Point 2 is denoted by A2 symbol.

How to calculate Area at Point 2 using Pascal's Law using this online calculator? To use this online calculator for Area at Point 2 using Pascal's Law, enter Area at Point 1 (A1), Force at Point 2 (F2) & Force at Point 1 (F1) and hit the calculate button. Here is how the Area at Point 2 using Pascal's Law calculation can be explained with given input values -> 27.40191 = 23*(12.45/10.45).

FAQ

What is Area at Point 2 using Pascal's Law?
The Area at Point 2 using Pascal's Law formula is defined as the function of area of point 1 and forces at both points. A consequence of the pressure in a fluid remaining constant in the horizontal direction is that the pressure applied to a confined fluid increases the pressure throughout by the same amount. This is called Pascal’s law, after Blaise Pascal (1623–1662). Pascal also knew that the force applied by a fluid is proportional to the surface area. He realized that two hydraulic cylinders of different areas could be connected, and the larger could be used to exert a proportionally greater force than that applied to the smaller. “Pascal’s machine” has been the source of many inventions that are a part of our daily lives such as hydraulic brakes and lifts. This is what enables us to lift a car easily by one arm and is represented as A2 = A1*(F2/F1) or Area at Point 2 = Area at Point 1*(Force at Point 2/Force at Point 1). Area at Point 1 is defined as the cross sectional area at point 1, Force at Point 2 is defined as the push or pull on an object with mass causes it to change its velocity at point 2 & Force at Point 1 is defined as the push or pull on an object with mass causes it to change its velocity at point 1.
How to calculate Area at Point 2 using Pascal's Law?
The Area at Point 2 using Pascal's Law formula is defined as the function of area of point 1 and forces at both points. A consequence of the pressure in a fluid remaining constant in the horizontal direction is that the pressure applied to a confined fluid increases the pressure throughout by the same amount. This is called Pascal’s law, after Blaise Pascal (1623–1662). Pascal also knew that the force applied by a fluid is proportional to the surface area. He realized that two hydraulic cylinders of different areas could be connected, and the larger could be used to exert a proportionally greater force than that applied to the smaller. “Pascal’s machine” has been the source of many inventions that are a part of our daily lives such as hydraulic brakes and lifts. This is what enables us to lift a car easily by one arm is calculated using Area at Point 2 = Area at Point 1*(Force at Point 2/Force at Point 1). To calculate Area at Point 2 using Pascal's Law, you need Area at Point 1 (A1), Force at Point 2 (F2) & Force at Point 1 (F1). With our tool, you need to enter the respective value for Area at Point 1, Force at Point 2 & Force at Point 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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