U-Tube Manometer equation Calculator

✖Specific Weight of Manometer liquid is used in calculating the U-tube manometer equation.ⓘ Specific Weight of Manometer liquid [γ_m]			+10% -10%
✖Height of manometer liquid present in the manometer tube.ⓘ Height of Manometer Liquid [h_m]			+10% -10%
✖Specific weight 1 is the specific weight of the fluid 1.ⓘ Specific Weight 1 [γ₁]			+10% -10%
✖Height of column 1 is the length of the column1 measured from bottom to Top.ⓘ Height of Column 1 [h₁]			+10% -10%

✖Pressure a is pressure at a point a.ⓘ U-Tube Manometer equation [P_a]

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Formula

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U-Tube Manometer equation

Formula

`"P"_{"a"} = ("γ"_{"m"}*"h"_{"m"})-("γ"_{"1"}*"h"_{"1"})`

Example

`"-126.224Pa"=("500N/m³"*"75mm")-("1342N/m³"*"122mm")`

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U-Tube Manometer equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure a = (Specific Weight of Manometer liquid*Height of Manometer Liquid)-(Specific Weight 1*Height of Column 1)
P_a = (γ_m*h_m)-(γ₁*h₁)
This formula uses 5 Variables

Variables Used

Pressure a - (Measured in Pascal) - Pressure a is pressure at a point a.
Specific Weight of Manometer liquid - (Measured in Newton per Cubic Meter) - Specific Weight of Manometer liquid is used in calculating the U-tube manometer equation.
Height of Manometer Liquid - (Measured in Meter) - Height of manometer liquid present in the manometer tube.
Specific Weight 1 - (Measured in Newton per Cubic Meter) - Specific weight 1 is the specific weight of the fluid 1.
Height of Column 1 - (Measured in Meter) - Height of column 1 is the length of the column1 measured from bottom to Top.

STEP 1: Convert Input(s) to Base Unit

Specific Weight of Manometer liquid: 500 Newton per Cubic Meter --> 500 Newton per Cubic Meter No Conversion Required
Height of Manometer Liquid: 75 Millimeter --> 0.075 Meter (Check conversion here)
Specific Weight 1: 1342 Newton per Cubic Meter --> 1342 Newton per Cubic Meter No Conversion Required
Height of Column 1: 122 Millimeter --> 0.122 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_a = (γ_m*h_m)-(γ₁*h₁) --> (500*0.075)-(1342*0.122)

Evaluating ... ...

P_a = -126.224

STEP 3: Convert Result to Output's Unit

-126.224 Pascal --> No Conversion Required

FINAL ANSWER

-126.224 Pascal <-- Pressure a

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< 9 Liquid Properties Measuring Equipments Calculators

Theoretical discharge for Venturimeter

Go Rate of flow = (Area of cross section at inlet*Area of Cross section at Throat*(sqrt(2*Acceleration Due To Gravity*Venturi Head)))/(sqrt((Area of cross section at inlet)^(2)-(Area of Cross section at Throat)^(2)))

Capillarity through Circular Tube Inserted in Liquid of S1 above Liquid of S2

Go Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific weight of liquid*Radius Of Circular Tube*(Specific Gravity of Liquid 1-Specific Gravity of Liquid 2))

Height of liquid in tube

Go Height of Liquid in Tube = (4*Surface Tension*cos(Theta))/(Density of Liquid*Acceleration Due To Gravity*Diameter of Tube)

Capillarity through Annular Space

Go Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific Weight*(Outer Radius Of Tube-Inner Radius Of Tube))

Discharge through Elbow Meter

Go Rate of flow = Coefficient of Discharge of Elbow meter*Cross sectional area of Pipe*(sqrt(2*Acceleration Due To Gravity*Elbowmeter Height))

Capillarity through Parallel Plates

Go Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific Weight*Uniform Gap between Vertical Plates)

U-Tube Manometer equation

Go Pressure a = (Specific Weight of Manometer liquid*Height of Manometer Liquid)-(Specific Weight 1*Height of Column 1)

Height of Capillary Rise

Go Capillarity Height = (4*Surface Tension*cos(Theta))/(Specific Weight*Diameter of Tube)

Angle of Inclined Manometer

Go Angle = asin(1/Sensitivity)

U-Tube Manometer equation Formula

Pressure a = (Specific Weight of Manometer liquid*Height of Manometer Liquid)-(Specific Weight 1*Height of Column 1)
P_a = (γ_m*h_m)-(γ₁*h₁)

What is U-Tube Manometer?

Pressure measuring devices using liquid columns in vertical or inclined tubes are called manometers. One of the most common is the water filled u-tube manometer used to measure pressure difference in pitot or orifices located in the airflow in air handling or ventilation system.

How to Calculate U-Tube Manometer equation?

U-Tube Manometer equation calculator uses Pressure a = (Specific Weight of Manometer liquid*Height of Manometer Liquid)-(Specific Weight 1*Height of Column 1) to calculate the Pressure a, U-Tube Manometer equation is an equation which used to find pressure at a specific point under consideration. Pressure a is denoted by P_a symbol.

How to calculate U-Tube Manometer equation using this online calculator? To use this online calculator for U-Tube Manometer equation, enter Specific Weight of Manometer liquid (γ_m), Height of Manometer Liquid (h_m), Specific Weight 1 (γ₁) & Height of Column 1 (h₁) and hit the calculate button. Here is how the U-Tube Manometer equation calculation can be explained with given input values -> -126.224 = (500*0.075)-(1342*0.122).

FAQ

What is U-Tube Manometer equation?

U-Tube Manometer equation is an equation which used to find pressure at a specific point under consideration and is represented as P_a = (γ_m*h_m)-(γ₁*h₁) or Pressure a = (Specific Weight of Manometer liquid*Height of Manometer Liquid)-(Specific Weight 1*Height of Column 1). Specific Weight of Manometer liquid is used in calculating the U-tube manometer equation, Height of manometer liquid present in the manometer tube, Specific weight 1 is the specific weight of the fluid 1 & Height of column 1 is the length of the column1 measured from bottom to Top.

How to calculate U-Tube Manometer equation?

U-Tube Manometer equation is an equation which used to find pressure at a specific point under consideration is calculated using Pressure a = (Specific Weight of Manometer liquid*Height of Manometer Liquid)-(Specific Weight 1*Height of Column 1). To calculate U-Tube Manometer equation, you need Specific Weight of Manometer liquid (γ_m), Height of Manometer Liquid (h_m), Specific Weight 1 (γ₁) & Height of Column 1 (h₁). With our tool, you need to enter the respective value for Specific Weight of Manometer liquid, Height of Manometer Liquid, Specific Weight 1 & Height of Column 1 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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