Pressure Intensity at Radial Distance r from Axis 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%
✖Radial distance from Central Axis is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance from Central Axis [d_r]			+10% -10%
✖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.ⓘ Slope of Line [m]			+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%

✖Absolute Pressure is labeled when any pressure is detected above the absolute zero of pressure.ⓘ Pressure Intensity at Radial Distance r from Axis [P_Abs]

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Formula

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Pressure Intensity at Radial Distance r from Axis

Formula

`"P"_{"Abs"} = "y"*(((("ω"*"d"_{"r"})^2)/2*"[g]")-"d"_{"r"}*cos(pi/180*"m")+"d"_{"v"})`

Example

`"53999.57Pa"="9.81kN/m³"*(((("2rad/s"*"0.5m")^2)/2*"[g]")-"0.5m"*cos(pi/180*"4")+"1.1m")`

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Pressure Intensity at Radial Distance r from Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
P_Abs = y*((((ω*d_r)^2)/2*[g])-d_r*cos(pi/180*m)+d_v)
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

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 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.
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.
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
Radial Distance from Central Axis: 0.5 Meter --> 0.5 Meter No Conversion Required
Slope of Line: 4 --> 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

P_Abs = y*((((ω*d_r)^2)/2*[g])-d_r*cos(pi/180*m)+d_v) --> 9810*((((2*0.5)^2)/2*[g])-0.5*cos(pi/180*4)+1.1)

Evaluating ... ...

P_Abs = 53999.5665834756

STEP 3: Convert Result to Output's Unit

53999.5665834756 Pascal --> No Conversion Required

FINAL ANSWER

53999.5665834756 ≈ 53999.57 Pascal <-- Absolute Pressure

(Calculation completed in 00.005 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. » Pressure Intensity at Radial Distance r from Axis

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Indian Institute of Information Technology (IIIT), Bhopal

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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

Pressure Intensity at Radial Distance r from Axis Formula

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 Pressure Intensity at Radial Distance r from Axis?

Pressure Intensity at Radial Distance r from Axis calculator uses 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) to calculate the Absolute Pressure, The Pressure Intensity at radial distance r from axis is defined as distribution of pressure across the pipe. Absolute Pressure is denoted by P_Abs symbol.

How to calculate Pressure Intensity at Radial Distance r from Axis using this online calculator? To use this online calculator for Pressure Intensity at Radial Distance r from Axis, enter Specific Weight of Liquid (y), Angular Velocity (ω), Radial Distance from Central Axis (d_r), Slope of Line (m) & Vertical Distance of Flow (d_v) and hit the calculate button. Here is how the Pressure Intensity at Radial Distance r from Axis calculation can be explained with given input values -> 53999.57 = 9810*((((2*0.5)^2)/2*[g])-0.5*cos(pi/180*4)+1.1).

FAQ

What is Pressure Intensity at Radial Distance r from Axis?

The Pressure Intensity at radial distance r from axis is defined as distribution of pressure across the pipe and is represented as P_Abs = y*((((ω*d_r)^2)/2*[g])-d_r*cos(pi/180*m)+d_v) or 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). 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 & Vertical Distance of Flow between center of transit and point on rod intersected by middle horizontal crosshair.

How to calculate Pressure Intensity at Radial Distance r from Axis?

The Pressure Intensity at radial distance r from axis is defined as distribution of pressure across the pipe is calculated using 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). To calculate Pressure Intensity at Radial Distance r from Axis, you need Specific Weight of Liquid (y), Angular Velocity (ω), Radial Distance from Central Axis (d_r), Slope of Line (m) & Vertical Distance of Flow (d_v). With our tool, you need to enter the respective value for Specific Weight of Liquid, Angular Velocity, Radial Distance from Central Axis, Slope of Line & 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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