Pressure head due to acceleration Calculator

✖Length of Pipe 1 describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe 1 [L₁]			+10% -10%
✖Area of Cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface.ⓘ Area of Cylinder [A]			+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%
✖Radius of Crank is defined as the distance between crank pin and crank center, i.e. half stroke.ⓘ Radius of Crank [r]			+10% -10%
✖Angle Turned By Crank in radians is defined as the product of 2 times of pi, speed(rpm), and time.ⓘ Angle Turned By Crank [θ_c]			+10% -10%
✖Area of Pipe is the cross-sectional area through which liquid is flowing and it is denoted by the symbol a.ⓘ Area of Pipe [a]			+10% -10%

✖Pressure Head Due to Acceleration of liquid is defined as the ratio of the intensity of pressure to the weight density of the liquid.ⓘ Pressure head due to acceleration [h_a]

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Pressure head due to acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Head Due to Acceleration = (Length of Pipe 1*Area of Cylinder*(Angular Velocity^2)*Radius of Crank*cos(Angle Turned By Crank))/([g]*Area of Pipe)
h_a = (L₁*A*(ω^2)*r*cos(θ_c))/([g]*a)
This formula uses 1 Constants, 1 Functions, 7 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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

Pressure Head Due to Acceleration - (Measured in Meter) - Pressure Head Due to Acceleration of liquid is defined as the ratio of the intensity of pressure to the weight density of the liquid.
Length of Pipe 1 - (Measured in Meter) - Length of Pipe 1 describes the length of the pipe in which the liquid is flowing.
Area of Cylinder - (Measured in Square Meter) - Area of Cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface.
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.
Radius of Crank - (Measured in Meter) - Radius of Crank is defined as the distance between crank pin and crank center, i.e. half stroke.
Angle Turned By Crank - (Measured in Radian) - Angle Turned By Crank in radians is defined as the product of 2 times of pi, speed(rpm), and time.
Area of Pipe - (Measured in Square Meter) - Area of Pipe is the cross-sectional area through which liquid is flowing and it is denoted by the symbol a.

STEP 1: Convert Input(s) to Base Unit

Length of Pipe 1: 120 Meter --> 120 Meter No Conversion Required
Area of Cylinder: 0.6 Square Meter --> 0.6 Square Meter No Conversion Required
Angular Velocity: 2.5 Radian per Second --> 2.5 Radian per Second No Conversion Required
Radius of Crank: 0.09 Meter --> 0.09 Meter No Conversion Required
Angle Turned By Crank: 12.8 Degree --> 0.223402144255232 Radian (Check conversion here)
Area of Pipe: 0.1 Square Meter --> 0.1 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_a = (L₁*A*(ω^2)*r*cos(θ_c))/([g]*a) --> (120*0.6*(2.5^2)*0.09*cos(0.223402144255232))/([g]*0.1)

Evaluating ... ...

h_a = 40.2722120697442

STEP 3: Convert Result to Output's Unit

40.2722120697442 Meter --> No Conversion Required

FINAL ANSWER

40.2722120697442 ≈ 40.27221 Meter <-- Pressure Head Due to Acceleration

(Calculation completed in 00.020 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Reciprocating Pumps » Mechanical » Flow Parameters » Pressure head due to acceleration

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has created this Calculator and 200+ more calculators!

Verified by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< Flow Parameters Calculators

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Weight of Water delivered per second given Density and Discharge

LaTeX Go Weight of Water = Water Density*[g]*Discharge

Weight of water delivered per second

LaTeX Go Weight of Liquid = Specific Weight*Discharge

Pressure head due to acceleration Formula

LaTeX Go

Pressure Head Due to Acceleration = (Length of Pipe 1*Area of Cylinder*(Angular Velocity^2)*Radius of Crank*cos(Angle Turned By Crank))/([g]*Area of Pipe)
h_a = (L₁*A*(ω^2)*r*cos(θ_c))/([g]*a)

What are some applications of reciprocating pumps?

Applications of reciprocating pumps are: Oil drilling operations, Pneumatic pressure systems, Light oil pumping, Feeding small boilers condensate return.

How to Calculate Pressure head due to acceleration?

Pressure head due to acceleration calculator uses Pressure Head Due to Acceleration = (Length of Pipe 1*Area of Cylinder*(Angular Velocity^2)*Radius of Crank*cos(Angle Turned By Crank))/([g]*Area of Pipe) to calculate the Pressure Head Due to Acceleration, Pressure head due to acceleration formula is defined as the height of a fluid column that corresponds to the pressure exerted due to the acceleration of the fluid in a reciprocating pump, which is a critical parameter in determining the pump's performance and efficiency. Pressure Head Due to Acceleration is denoted by h_a symbol.

How to calculate Pressure head due to acceleration using this online calculator? To use this online calculator for Pressure head due to acceleration, enter Length of Pipe 1 (L₁), Area of Cylinder (A), Angular Velocity (ω), Radius of Crank (r), Angle Turned By Crank (θ_c) & Area of Pipe (a) and hit the calculate button. Here is how the Pressure head due to acceleration calculation can be explained with given input values -> 40.27221 = (120*0.6*(2.5^2)*0.09*cos(0.223402144255232))/([g]*0.1).

FAQ

What is Pressure head due to acceleration?

Pressure head due to acceleration formula is defined as the height of a fluid column that corresponds to the pressure exerted due to the acceleration of the fluid in a reciprocating pump, which is a critical parameter in determining the pump's performance and efficiency and is represented as h_a = (L₁*A*(ω^2)*r*cos(θ_c))/([g]*a) or Pressure Head Due to Acceleration = (Length of Pipe 1*Area of Cylinder*(Angular Velocity^2)*Radius of Crank*cos(Angle Turned By Crank))/([g]*Area of Pipe). Length of Pipe 1 describes the length of the pipe in which the liquid is flowing, Area of Cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface, 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, Radius of Crank is defined as the distance between crank pin and crank center, i.e. half stroke, Angle Turned By Crank in radians is defined as the product of 2 times of pi, speed(rpm), and time & Area of Pipe is the cross-sectional area through which liquid is flowing and it is denoted by the symbol a.

How to calculate Pressure head due to acceleration?

Pressure head due to acceleration formula is defined as the height of a fluid column that corresponds to the pressure exerted due to the acceleration of the fluid in a reciprocating pump, which is a critical parameter in determining the pump's performance and efficiency is calculated using Pressure Head Due to Acceleration = (Length of Pipe 1*Area of Cylinder*(Angular Velocity^2)*Radius of Crank*cos(Angle Turned By Crank))/([g]*Area of Pipe). To calculate Pressure head due to acceleration, you need Length of Pipe 1 (L₁), Area of Cylinder (A), Angular Velocity (ω), Radius of Crank (r), Angle Turned By Crank (θ_c) & Area of Pipe (a). With our tool, you need to enter the respective value for Length of Pipe 1, Area of Cylinder, Angular Velocity, Radius of Crank, Angle Turned By Crank & Area of Pipe 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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