Pressure head due to acceleration Calculator

✖The 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]			+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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Formula

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Pressure head due to acceleration

Formula

`"h"_{"a"} = ("L"_{"1"}*"A"*("ω"^2)*"r"*cos("θ"))/("[g]"*"a")`

Example

`"40.17653m"=("120m"*"0.6m²"*(("2.5rad/s")^2)*"0.09m"*cos("12.8rad"))/("[g]"*"0.1m²")`

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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))/([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) - The 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 Radian --> 12.8 Radian No Conversion Required
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))/([g]*a) --> (120*0.6*(2.5^2)*0.09*cos(12.8))/([g]*0.1)

Evaluating ... ...

h_a = 40.1765321600609

STEP 3: Convert Result to Output's Unit

40.1765321600609 Meter --> No Conversion Required

FINAL ANSWER

40.1765321600609 ≈ 40.17653 Meter <-- Pressure Head due to Acceleration

(Calculation completed in 00.004 seconds)

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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!

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

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< 12 Flow Parameters Calculators

Loss of head due to friction given area of Pipe

Go Head loss due to friction = ((4*Coefficient of Friction*Length of Pipe 1)/(Diameter of delivery pipe*2*[g]))*((Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*sin(Angle turned by crank))

Pressure head due to acceleration

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)

Acceleration of liquid in pipe

Go Acceleration of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angular Velocity*Time in seconds)

Velocity of Liquid in Pipe

Go Velocity of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity*Radius of crank*sin(Angular Velocity*Time in seconds)

Rate of flow of liquid into air vessel

Go Rate of Flow = (Area of cylinder*Angular Velocity*Crank radius)*(sin(Angle between crank and flow rate)-(2/pi))

Mean Velocity of Air Vessel given Length of Stroke

Go Mean Velocity = (Area of cylinder*Angular Velocity*Length of Stroke)/(2*pi*Area of Suction Pipe)

Mean velocity of air vessels

Go Mean Velocity = (Area of cylinder*Angular Velocity*Pipe Diameter/2)/(pi*Area of Suction Pipe)

Weight of Water delivered per second given Density and Discharge

Go Weight of Water = Water Density*Acceleration Due to Gravity*Discharge

Mass of water in pipe

Go Mass of Water = Water Density*Area of pipe*Length of Pipe

Coefficient of discharge of pump

Go Coefficient of Discharge = Actual Discharge/Theoretical Discharge

Weight of water delivered per second

Go Weight of liquid = Specific Weight*Discharge

Volume of liquid delivered given weight of liquid

Go Volume = Weight of liquid/Specific Weight

Pressure head due to acceleration Formula

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))/([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, The Pressure head due to acceleration formula is defined as the ratio of intensity of pressure to the weight density of liquid. 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) & 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 -> 26.78435 = (120*0.6*(2.5^2)*0.09*cos(12.8))/([g]*0.1).

FAQ

What is Pressure head due to acceleration?

The Pressure head due to acceleration formula is defined as the ratio of intensity of pressure to the weight density of liquid and is represented as h_a = (L₁*A*(ω^2)*r*cos(θ))/([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). The 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?

The Pressure head due to acceleration formula is defined as the ratio of intensity of pressure to the weight density of liquid 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) & 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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