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

STEP 0: Pre-Calculation Summary
Formula Used
Specific Weight of Liquid = Force on Cylinder/((pi/(4*[g])*((Angular Velocity*Vertical Distance of Flow^2)^2)+pi*Vertical Distance of Flow^3))
y = FC/((pi/(4*[g])*((ω*dv^2)^2)+pi*dv^3))
This formula uses 2 Constants, 4 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
Force on Cylinder - (Measured in Newton) - Force on Cylinder is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.
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.
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
Force on Cylinder: 45621 Newton --> 45621 Newton No Conversion Required
Angular Velocity: 2 Radian per Second --> 2 Radian per Second 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
y = FC/((pi/(4*[g])*((ω*dv^2)^2)+pi*dv^3)) --> 45621/((pi/(4*[g])*((2*1.1^2)^2)+pi*1.1^3))
Evaluating ... ...
y = 9809.93594109044
STEP 3: Convert Result to Output's Unit
9809.93594109044 Newton per Cubic Meter -->9.80993594109044 Kilonewton per Cubic Meter (Check conversion here)
FINAL ANSWER
9.80993594109044 9.809936 Kilonewton per Cubic Meter <-- Specific Weight of Liquid
(Calculation completed in 00.004 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

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

Specific Weight of Liquid = Force on Cylinder/((pi/(4*[g])*((Angular Velocity*Vertical Distance of Flow^2)^2)+pi*Vertical Distance of Flow^3))
y = FC/((pi/(4*[g])*((ω*dv^2)^2)+pi*dv^3))

What is Specific Weight of Liquid?

In fluid mechanics, specific weight represents the force exerted by gravity on a unit volume of a fluid. For this reason, units are expressed as force per unit volume (e.g., N/m3 or lbf/ft3). Specific weight can be used as a characteristic property of a fluid.

How to Calculate Specific Weight of Liquid given Total Pressure Force on each end of Cylinder?

Specific Weight of Liquid given Total Pressure Force on each end of Cylinder calculator uses Specific Weight of Liquid = Force on Cylinder/((pi/(4*[g])*((Angular Velocity*Vertical Distance of Flow^2)^2)+pi*Vertical Distance of Flow^3)) to calculate the Specific Weight of Liquid, The Specific Weight of Liquid given Total Pressure Force on Each End of Cylinder is defined as weight per cubic meter of liquid. Specific Weight of Liquid is denoted by y symbol.

How to calculate Specific Weight of Liquid given Total Pressure Force on each end of Cylinder using this online calculator? To use this online calculator for Specific Weight of Liquid given Total Pressure Force on each end of Cylinder, enter Force on Cylinder (FC), Angular Velocity (ω) & Vertical Distance of Flow (dv) and hit the calculate button. Here is how the Specific Weight of Liquid given Total Pressure Force on each end of Cylinder calculation can be explained with given input values -> 5.4E-7 = 45621/((pi/(4*[g])*((2*1.1^2)^2)+pi*1.1^3)).

FAQ

What is Specific Weight of Liquid given Total Pressure Force on each end of Cylinder?
The Specific Weight of Liquid given Total Pressure Force on Each End of Cylinder is defined as weight per cubic meter of liquid and is represented as y = FC/((pi/(4*[g])*((ω*dv^2)^2)+pi*dv^3)) or Specific Weight of Liquid = Force on Cylinder/((pi/(4*[g])*((Angular Velocity*Vertical Distance of Flow^2)^2)+pi*Vertical Distance of Flow^3)). Force on Cylinder is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity, 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 & Vertical Distance of Flow between center of transit and point on rod inter￾sected by middle horizontal crosshair.
How to calculate Specific Weight of Liquid given Total Pressure Force on each end of Cylinder?
The Specific Weight of Liquid given Total Pressure Force on Each End of Cylinder is defined as weight per cubic meter of liquid is calculated using Specific Weight of Liquid = Force on Cylinder/((pi/(4*[g])*((Angular Velocity*Vertical Distance of Flow^2)^2)+pi*Vertical Distance of Flow^3)). To calculate Specific Weight of Liquid given Total Pressure Force on each end of Cylinder, you need Force on Cylinder (FC), Angular Velocity (ω) & Vertical Distance of Flow (dv). With our tool, you need to enter the respective value for Force on Cylinder, Angular Velocity & 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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