Total pressure force on top of cylinder Calculator

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✖Liquid Density is mass per unit volume of the liquid.ⓘ Liquid Density [LD]			+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%
✖Radius 1 is a radial line from the focus to any point of a curve for 1st Radius.ⓘ Radius [r₁]			+10% -10%

✖The Pressure force on top of the cylinder is considered.ⓘ Total pressure force on top of cylinder [F_t]

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Formula

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Total pressure force on top of cylinder

Formula

F t = (\frac{LD}{4}) \cdot (ω^{2}) \cdot π \cdot ({r 1}^{4})

Example

383495.2 N = (\frac{5 kg/m³}{4}) \cdot ({2 rad/s}^{2}) \cdot π \cdot ({1250 cm}^{4})

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Total pressure force on top of cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Force on Top = (Liquid Density/4)*(Angular Velocity^2)*pi*(Radius^4)
F_t = (LD/4)*(ω^2)*pi*(r₁^4)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Pressure Force on Top - (Measured in Newton) - The Pressure force on top of the cylinder is considered.
Liquid Density - (Measured in Kilogram per Cubic Meter) - Liquid Density is mass per unit volume of the liquid.
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.
Radius - (Measured in Meter) - Radius 1 is a radial line from the focus to any point of a curve for 1st Radius.

STEP 1: Convert Input(s) to Base Unit

Liquid Density: 5 Kilogram per Cubic Meter --> 5 Kilogram per Cubic Meter No Conversion Required
Angular Velocity: 2 Radian per Second --> 2 Radian per Second No Conversion Required
Radius: 1250 Centimeter --> 12.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_t = (LD/4)*(ω^2)*pi*(r₁^4) --> (5/4)*(2^2)*pi*(12.5^4)

Evaluating ... ...

F_t = 383495.19697141

STEP 3: Convert Result to Output's Unit

383495.19697141 Newton --> No Conversion Required

FINAL ANSWER

383495.19697141 ≈ 383495.2 Newton <-- Pressure Force on Top

(Calculation completed in 00.004 seconds)

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PSG College of Technology (PSGCT), Coimbatore

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< 5 Kinematics of Flow Calculators

Height or depth of paraboloid for volume of air

Go Height of Crack = ((Diameter^2)/(2*(Radius^2)))*(Length-Initial Height of Liquid)

Resultant velocity for two velocity components

Go Resultant Velocity = sqrt((Velocity Component at U^2)+(Velocity Component at V^2))

Angular Velocity of Vortex using Depth of Parabola

Go Angular Velocity = sqrt((Depth of Parabola*2*9.81)/(Radius^2))

Depth of Parabola formed at Free Surface of Water

Go Depth of Parabola = ((Angular Velocity^2)*(Radius^2))/(2*9.81)

Rate of flow or discharge

Go Rate of Flow = Cross-Sectional Area*Average Velocity

Total pressure force on top of cylinder Formula

Pressure Force on Top = (Liquid Density/4)*(Angular Velocity^2)*pi*(Radius^4)
F_t = (LD/4)*(ω^2)*pi*(r₁^4)

What are closed vessels?

The Closed vessel (CV) is the equipment used to study the ballistic parameters by recording burning time history, pressure buildup during the process, and vivacity of the propellants. The Liquid will exert a force on the top of the cylinder and also at the bottom when it is completely filled.

What is vortex flow?

It is defined as the flow of fluid along the curved path or the flow of a rotating mass of fluid. It is of two types, forced and free vortex flow.

How to Calculate Total pressure force on top of cylinder?

Total pressure force on top of cylinder calculator uses Pressure Force on Top = (Liquid Density/4)*(Angular Velocity^2)*pi*(Radius^4) to calculate the Pressure Force on Top, The Total pressure force on top of cylinder formula is defined from the relation closed cylindrical vessel where the top of the cylinder is in contact with water and in the horizontal plane. Pressure Force on Top is denoted by F_t symbol.

How to calculate Total pressure force on top of cylinder using this online calculator? To use this online calculator for Total pressure force on top of cylinder, enter Liquid Density (LD), Angular Velocity (ω) & Radius (r₁) and hit the calculate button. Here is how the Total pressure force on top of cylinder calculation can be explained with given input values -> 383495.2 = (5/4)*(2^2)*pi*(12.5^4).

FAQ

What is Total pressure force on top of cylinder?

The Total pressure force on top of cylinder formula is defined from the relation closed cylindrical vessel where the top of the cylinder is in contact with water and in the horizontal plane and is represented as F_t = (LD/4)*(ω^2)*pi*(r₁^4) or Pressure Force on Top = (Liquid Density/4)*(Angular Velocity^2)*pi*(Radius^4). Liquid Density is mass per unit volume of the liquid, 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 & Radius 1 is a radial line from the focus to any point of a curve for 1st Radius.

How to calculate Total pressure force on top of cylinder?

The Total pressure force on top of cylinder formula is defined from the relation closed cylindrical vessel where the top of the cylinder is in contact with water and in the horizontal plane is calculated using Pressure Force on Top = (Liquid Density/4)*(Angular Velocity^2)*pi*(Radius^4). To calculate Total pressure force on top of cylinder, you need Liquid Density (LD), Angular Velocity (ω) & Radius (r₁). With our tool, you need to enter the respective value for Liquid Density, Angular Velocity & Radius 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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