Total Pressure Force on Each End of Cylinder Calculator

✖The Specific weight of liquid is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3.ⓘ Specific Weight of Liquid [y]			+10% -10%
✖The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular Velocity [ω]			+10% -10%
✖Vertical Distance of Flow between center of transit and point on rod intersected by middle horizontal crosshair.ⓘ Vertical Distance of Flow [d_v]			+10% -10%

✖Force on Cylinder is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.ⓘ Total Pressure Force on Each End of Cylinder [F_C]

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Formula

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Total Pressure Force on Each End of Cylinder

Formula

`"F"_{"C"} = "y"*(pi/(4*"[g]")*(("ω"*"d"_{"v"}^2)^2)+pi*"d"_{"v"}^3)`

Example

`"45621.3N"="9.81kN/m³"*(pi/(4*"[g]")*(("2rad/s"*("1.1m")^2)^2)+pi*("1.1m")^3)`

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Total Pressure Force on Each End of Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force on Cylinder = Specific Weight of Liquid*(pi/(4*[g])*((Angular Velocity*Vertical Distance of Flow^2)^2)+pi*Vertical Distance of Flow^3)
F_C = y*(pi/(4*[g])*((ω*d_v^2)^2)+pi*d_v^3)
This formula uses 2 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Force on Cylinder - (Measured in Newton) - Force on Cylinder is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - The Specific weight of liquid is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Vertical Distance of Flow - (Measured in Meter) - Vertical Distance of Flow between center of transit and point on rod intersected by middle horizontal crosshair.

STEP 1: Convert Input(s) to Base Unit

Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Angular Velocity: 2 Radian per Second --> 2 Radian per Second No Conversion Required
Vertical Distance of Flow: 1.1 Meter --> 1.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_C = y*(pi/(4*[g])*((ω*d_v^2)^2)+pi*d_v^3) --> 9810*(pi/(4*[g])*((2*1.1^2)^2)+pi*1.1^3)

Evaluating ... ...

F_C = 45621.2979052596

STEP 3: Convert Result to Output's Unit

45621.2979052596 Newton --> No Conversion Required

FINAL ANSWER

45621.2979052596 ≈ 45621.3 Newton <-- Force on Cylinder

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Liquids in Relative Equilibrium » Fluid Containers Subjected to Constant Rotation » Cylindrical Vessel Containing Liquid Rotating with its Axis Horizontal. » Total Pressure Force on Each End of Cylinder

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 5 Cylindrical Vessel Containing Liquid Rotating with its Axis Horizontal. Calculators

Liquid Column Height given Pressure Intensity at Radial Distance from Axis

Go Vertical Distance of Flow = (Absolute Pressure/(Specific Weight of Liquid*1000))-(((Angular Velocity*Radial Distance from Central Axis)^2)/2*[g])+Radial Distance from Central Axis*cos(pi/180*Slope of Line)

Pressure Intensity at Radial Distance r from Axis

Go Absolute Pressure = Specific Weight of Liquid*((((Angular Velocity*Radial Distance from Central Axis)^2)/2*[g])-Radial Distance from Central Axis*cos(pi/180*Slope of Line)+Vertical Distance of Flow)

Specific Weight of Liquid given Total Pressure Force on each end of Cylinder

Go Specific Weight of Liquid = Force on Cylinder/((pi/(4*[g])*((Angular Velocity*Vertical Distance of Flow^2)^2)+pi*Vertical Distance of Flow^3))

Total Pressure Force on Each End of Cylinder

Go Force on Cylinder = Specific Weight of Liquid*(pi/(4*[g])*((Angular Velocity*Vertical Distance of Flow^2)^2)+pi*Vertical Distance of Flow^3)

Pressure Intensity when Radial Distance is Zero

Go Pressure = Specific Weight of Liquid*Vertical Distance of Flow

Total Pressure Force on Each End of Cylinder Formula

Force on Cylinder = Specific Weight of Liquid*(pi/(4*[g])*((Angular Velocity*Vertical Distance of Flow^2)^2)+pi*Vertical Distance of Flow^3)
F_C = y*(pi/(4*[g])*((ω*d_v^2)^2)+pi*d_v^3)

What is Force?

In physics, a force is any interaction that, when unopposed, will change the motion of an object. A force can cause an object with mass to change its velocity, i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity.

How to Calculate Total Pressure Force on Each End of Cylinder?

Total Pressure Force on Each End of Cylinder calculator uses Force on Cylinder = Specific Weight of Liquid*(pi/(4*[g])*((Angular Velocity*Vertical Distance of Flow^2)^2)+pi*Vertical Distance of Flow^3) to calculate the Force on Cylinder, The Total Pressure Force on Each End of Cylinder formula is defined as maximum force acting in fluid. Force on Cylinder is denoted by F_C symbol.

How to calculate Total Pressure Force on Each End of Cylinder using this online calculator? To use this online calculator for Total Pressure Force on Each End of Cylinder, enter Specific Weight of Liquid (y), Angular Velocity (ω) & Vertical Distance of Flow (d_v) and hit the calculate button. Here is how the Total Pressure Force on Each End of Cylinder calculation can be explained with given input values -> 45621.3 = 9810*(pi/(4*[g])*((2*1.1^2)^2)+pi*1.1^3).

FAQ

What is Total Pressure Force on Each End of Cylinder?

The Total Pressure Force on Each End of Cylinder formula is defined as maximum force acting in fluid and is represented as F_C = y*(pi/(4*[g])*((ω*d_v^2)^2)+pi*d_v^3) or Force on Cylinder = Specific Weight of Liquid*(pi/(4*[g])*((Angular Velocity*Vertical Distance of Flow^2)^2)+pi*Vertical Distance of Flow^3). The Specific weight of liquid is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3, The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time & Vertical Distance of Flow between center of transit and point on rod intersected by middle horizontal crosshair.

How to calculate Total Pressure Force on Each End of Cylinder?

The Total Pressure Force on Each End of Cylinder formula is defined as maximum force acting in fluid is calculated using Force on Cylinder = Specific Weight of Liquid*(pi/(4*[g])*((Angular Velocity*Vertical Distance of Flow^2)^2)+pi*Vertical Distance of Flow^3). To calculate Total Pressure Force on Each End of Cylinder, you need Specific Weight of Liquid (y), Angular Velocity (ω) & Vertical Distance of Flow (d_v). With our tool, you need to enter the respective value for Specific Weight of Liquid, Angular Velocity & Vertical Distance of Flow 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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