Liquid Column Height given Pressure Intensity at Radial Distance from Axis Calculator

✖Absolute Pressure refers to the total pressure exerted on a system, measured relative to a perfect vacuum (zero pressure).ⓘ Absolute Pressure [P_Abs]			+10% -10%
✖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%
✖Radial Distance from Central Axis refers to the distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance from Central Axis [d_r]			+10% -10%
✖Actual Time refers to the time taken to produce an item on a production line versus the planned production time.ⓘ Actual Time [AT]			+10% -10%

✖Vertical Distance of Flow between center of transit and point on rod intersected by middle horizontal crosshair.ⓘ Liquid Column Height given Pressure Intensity at Radial Distance from Axis [d_v]

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Liquid Column Height given Pressure Intensity at Radial Distance from Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

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*Actual Time)
d_v = (P_Abs/(y*1000))-(((ω*d_r)^2)/2*[g])+d_r*cos(pi/180*AT)
This formula uses 2 Constants, 1 Functions, 6 Variables

Constants Used

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

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Vertical Distance of Flow - (Measured in Meter) - Vertical Distance of Flow between center of transit and point on rod intersected by middle horizontal crosshair.
Absolute Pressure - (Measured in Pascal) - Absolute Pressure refers to the total pressure exerted on a system, measured relative to a perfect vacuum (zero pressure).
Specific Weight of Liquid - (Measured in Kilonewton 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.
Radial Distance from Central Axis - (Measured in Meter) - Radial Distance from Central Axis refers to the distance between whisker sensor's pivot point to whisker-object contact point.
Actual Time - Actual Time refers to the time taken to produce an item on a production line versus the planned production time.

STEP 1: Convert Input(s) to Base Unit

Absolute Pressure: 100000 Pascal --> 100000 Pascal No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Angular Velocity: 2 Radian per Second --> 2 Radian per Second No Conversion Required
Radial Distance from Central Axis: 0.5 Meter --> 0.5 Meter No Conversion Required
Actual Time: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_v = (P_Abs/(y*1000))-(((ω*d_r)^2)/2*[g])+d_r*cos(pi/180*AT) --> (100000/(9.81*1000))-(((2*0.5)^2)/2*[g])+0.5*cos(pi/180*4)

Evaluating ... ...

d_v = 5.78913694358047

STEP 3: Convert Result to Output's Unit

5.78913694358047 Meter --> No Conversion Required

FINAL ANSWER

5.78913694358047 ≈ 5.789137 Meter <-- Vertical Distance of Flow

(Calculation completed in 00.008 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. » Liquid Column Height given Pressure Intensity at Radial Distance from Axis

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Pressure Intensity at Radial Distance r from Axis

LaTeX 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*Actual Time)+Vertical Distance of Flow)

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

LaTeX 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

LaTeX 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

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

Liquid Column Height given Pressure Intensity at Radial Distance from Axis Formula

LaTeX Go

What is Pressure?

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Gauge pressure is the pressure relative to the ambient pressure. Various units are used to express pressure.

How to Calculate Liquid Column Height given Pressure Intensity at Radial Distance from Axis?

Liquid Column Height given Pressure Intensity at Radial Distance from Axis calculator uses 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*Actual Time) to calculate the Vertical Distance of Flow, The Liquid Column Height given Pressure Intensity at Radial Distance from Axis formula is defined as maximum width of column of liquid in pipe. Vertical Distance of Flow is denoted by d_v symbol.

How to calculate Liquid Column Height given Pressure Intensity at Radial Distance from Axis using this online calculator? To use this online calculator for Liquid Column Height given Pressure Intensity at Radial Distance from Axis, enter Absolute Pressure (P_Abs), Specific Weight of Liquid (y), Angular Velocity (ω), Radial Distance from Central Axis (d_r) & Actual Time (AT) and hit the calculate button. Here is how the Liquid Column Height given Pressure Intensity at Radial Distance from Axis calculation can be explained with given input values -> 5.789137 = (100000/(9810*1000))-(((2*0.5)^2)/2*[g])+0.5*cos(pi/180*4).

FAQ

What is Liquid Column Height given Pressure Intensity at Radial Distance from Axis?

The Liquid Column Height given Pressure Intensity at Radial Distance from Axis formula is defined as maximum width of column of liquid in pipe and is represented as d_v = (P_Abs/(y*1000))-(((ω*d_r)^2)/2*[g])+d_r*cos(pi/180*AT) or 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*Actual Time). Absolute Pressure refers to the total pressure exerted on a system, measured relative to a perfect vacuum (zero pressure), 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, Radial Distance from Central Axis refers to the distance between whisker sensor's pivot point to whisker-object contact point & Actual Time refers to the time taken to produce an item on a production line versus the planned production time.

How to calculate Liquid Column Height given Pressure Intensity at Radial Distance from Axis?

The Liquid Column Height given Pressure Intensity at Radial Distance from Axis formula is defined as maximum width of column of liquid in pipe is calculated using 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*Actual Time). To calculate Liquid Column Height given Pressure Intensity at Radial Distance from Axis, you need Absolute Pressure (P_Abs), Specific Weight of Liquid (y), Angular Velocity (ω), Radial Distance from Central Axis (d_r) & Actual Time (AT). With our tool, you need to enter the respective value for Absolute Pressure, Specific Weight of Liquid, Angular Velocity, Radial Distance from Central Axis & Actual Time 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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