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*Slope of Line)
dv = (PAbs/(y*1000))-(((ω*dr)^2)/2*[g])+dr*cos(pi/180*m)
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 inter￾sected by middle horizontal crosshair.
Absolute Pressure - (Measured in Pascal) - Absolute Pressure is labeled when any pressure is detected above the absolute zero of 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 is defined as distance between whisker sensor's pivot point to whisker-object contact point.
Slope of Line - The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.
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
Slope of Line: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dv = (PAbs/(y*1000))-(((ω*dr)^2)/2*[g])+dr*cos(pi/180*m) --> (100000/(9.81*1000))-(((2*0.5)^2)/2*[g])+0.5*cos(pi/180*4)
Evaluating ... ...
dv = 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 00.020 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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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

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

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)
dv = (PAbs/(y*1000))-(((ω*dr)^2)/2*[g])+dr*cos(pi/180*m)

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*Slope of Line) 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 dv 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 (PAbs), Specific Weight of Liquid (y), Angular Velocity (ω), Radial Distance from Central Axis (dr) & Slope of Line (m) 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 dv = (PAbs/(y*1000))-(((ω*dr)^2)/2*[g])+dr*cos(pi/180*m) 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*Slope of Line). Absolute Pressure is labeled when any pressure is detected above the absolute zero of 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 is defined as distance between whisker sensor's pivot point to whisker-object contact point & The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.
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*Slope of Line). To calculate Liquid Column Height given Pressure Intensity at Radial Distance from Axis, you need Absolute Pressure (PAbs), Specific Weight of Liquid (y), Angular Velocity (ω), Radial Distance from Central Axis (dr) & Slope of Line (m). With our tool, you need to enter the respective value for Absolute Pressure, Specific Weight of Liquid, Angular Velocity, Radial Distance from Central Axis & Slope of Line 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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