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*Actual Time)+Vertical Distance of Flow)
PAbs = y*((((ω*dr)^2)/2*[g])-dr*cos(pi/180*AT)+dv)
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 refers to the total pressure exerted on a system, measured relative to a perfect vacuum (zero 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 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.
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.
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
Actual Time: 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
PAbs = y*((((ω*dr)^2)/2*[g])-dr*cos(pi/180*AT)+dv) --> 9810*((((2*0.5)^2)/2*[g])-0.5*cos(pi/180*4)+1.1)
Evaluating ... ...
PAbs = 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 00.004 seconds)

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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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Cylindrical Vessel Containing Liquid Rotating with its Axis Horizontal. Calculators

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

Pressure Intensity at Radial Distance r from Axis Formula

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

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*Actual Time)+Vertical Distance of Flow) to calculate the Absolute Pressure, The Pressure Intensity at radial distance r from Axis formula is defined as the distribution of pressure across the pipe. Absolute Pressure is denoted by PAbs 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 (dr), Actual Time (AT) & Vertical Distance of Flow (dv) 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 formula is defined as the distribution of pressure across the pipe and is represented as PAbs = y*((((ω*dr)^2)/2*[g])-dr*cos(pi/180*AT)+dv) 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*Actual Time)+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 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 & Vertical Distance of Flow between center of transit and point on rod inter￾sected by middle horizontal crosshair.
How to calculate Pressure Intensity at Radial Distance r from Axis?
The Pressure Intensity at radial distance r from Axis formula is defined as the 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*Actual Time)+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 (dr), Actual Time (AT) & Vertical Distance of Flow (dv). With our tool, you need to enter the respective value for Specific Weight of Liquid, Angular Velocity, Radial Distance from Central Axis, Actual Time & 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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