Pressure Head when Connecting Rod is not very long as compared to Crank Length 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%
✖Ratio of length of connecting rod to crank length is denoted by the symbol n.ⓘ Ratio of length of connecting rod to crank length [n]			+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 when Connecting Rod is not very long as compared to Crank Length [h_a]

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Formula

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Pressure Head when Connecting Rod is not very long as compared to Crank Length

Formula

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

Example

`"57.96392m"=(("120m"*"0.6m²"*(("2.5rad/s")^2)*"0.09m"*cos("12.8rad"))/("[g]"*"0.1m²"))*(cos("12.8rad")+(cos(2*"12.8rad")/"1.9"))`

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Pressure Head when Connecting Rod is not very long as compared to Crank Length 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))*(cos(Angle turned by crank)+(cos(2*Angle turned by crank)/Ratio of length of connecting rod to crank length))
h_a = ((L₁*A*(ω^2)*r*cos(θ))/([g]*a))*(cos(θ)+(cos(2*θ)/n))
This formula uses 1 Constants, 1 Functions, 8 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.
Ratio of length of connecting rod to crank length - Ratio of length of connecting rod to crank length is denoted by the symbol n.

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
Ratio of length of connecting rod to crank length: 1.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_a = ((L₁*A*(ω^2)*r*cos(θ))/([g]*a))*(cos(θ)+(cos(2*θ)/n)) --> ((120*0.6*(2.5^2)*0.09*cos(12.8))/([g]*0.1))*(cos(12.8)+(cos(2*12.8)/1.9))

Evaluating ... ...

h_a = 57.9639152374322

STEP 3: Convert Result to Output's Unit

57.9639152374322 Meter --> No Conversion Required

FINAL ANSWER

57.9639152374322 ≈ 57.96392 Meter <-- Pressure Head due to Acceleration

(Calculation completed in 00.020 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Reciprocating Pumps » Double Acting Pumps » Pressure Head when Connecting Rod is not very long as compared to Crank Length

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< 15 Double Acting Pumps Calculators

Pressure Head when Connecting Rod is not very long as compared to Crank Length

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))*(cos(Angle turned by crank)+(cos(2*Angle turned by crank)/Ratio of length of connecting rod to crank length))

Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes

Go Work = ((Density*Acceleration Due to Gravity*Area of cylinder*Length of Stroke*Crank Speed)/60)*(Suction Head+Delivery Head+Head Loss due to Friction in Suction Pipe+Head loss due to friction in delivery pipe)

Work done by pump per stroke against friction

Go Work = (2/3)*Length of Stroke*(((4*Friction Factor*Length of Pipe)/(2*Pipe Diameter*Acceleration Due to Gravity))*((Area of cylinder/Area of delivery pipe)*(Angular Velocity*Crank radius))^2)

Work Done by Double-acting Pump considering all Head Losses

Go Work = (2*Specific Weight*Area of cylinder*Length of Stroke*Speed in RPM/60)*(Suction Head+Delivery Head+((2/3)*Head loss due to friction in delivery pipe)+((2/3)*Head Loss due to Friction in Suction Pipe))

Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes

Go Work = ((2*Density*Area of cylinder*Length of Stroke*Speed in RPM)/60)*(Suction Head+Delivery Head+0.66*Head Loss due to Friction in Suction Pipe+0.66*Head loss due to friction in delivery pipe)

Work Done by Double Acting Reciprocating Pump

Go Work = 2*Specific Weight*Area of Piston*Length of Stroke*(Speed in RPM/60)*(Height of centre of cylinder+Height to which liquid is raised)

Work Done by Reciprocating Pumps

Go Work = Specific Weight*Area of Piston*Length of Stroke*Speed in RPM*(Height of centre of cylinder+Height to which liquid is raised)/60

Power Required to Drive Double acting Reciprocating Pump

Go Power = 2*Specific Weight*Area of Piston*Length of Stroke*Speed*(Height of centre of cylinder+Height to which liquid is raised)/60

Rate of Flow of Liquid into Air Vessel given Stroke Length

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

Discharge of Double Acting Reciprocating Pump

Go Discharge = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2))*(Speed/60)

Volume of liquid delivered in one revolution of crank- double acting reciprocating pump

Go Volume of Liquid = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2))

Weight of Water Delivered by Reciprocating Pump given Speed

Go Weight of liquid = Specific Weight*Area of Piston*Length of Stroke*Speed/60

Discharge of Double Acting Reciprocating Pump neglecting Diameter of Piston Rod

Go Discharge = 2*Area of Piston*Length of stroke*Speed/60

Discharge of Reciprocating Pump

Go Discharge = Area of Piston*Length of stroke*Speed/60

Volume of liquid sucked in during suction stroke

Go Volume of liquid sucked = Area of Piston*Length of stroke

Pressure Head when Connecting Rod is not very long as compared to Crank Length Formula

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 when Connecting Rod is not very long as compared to Crank Length?

Pressure Head when Connecting Rod is not very long as compared to Crank Length 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))*(cos(Angle turned by crank)+(cos(2*Angle turned by crank)/Ratio of length of connecting rod to crank length)) to calculate the Pressure Head due to Acceleration, The Pressure head when connecting rod is not very long as compared to crank length 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 when Connecting Rod is not very long as compared to Crank Length using this online calculator? To use this online calculator for Pressure Head when Connecting Rod is not very long as compared to Crank Length, 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) & Ratio of length of connecting rod to crank length (n) and hit the calculate button. Here is how the Pressure Head when Connecting Rod is not very long as compared to Crank Length calculation can be explained with given input values -> 38.64261 = ((120*0.6*(2.5^2)*0.09*cos(12.8))/([g]*0.1))*(cos(12.8)+(cos(2*12.8)/1.9)).

FAQ

What is Pressure Head when Connecting Rod is not very long as compared to Crank Length?

The Pressure head when connecting rod is not very long as compared to crank length 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))*(cos(θ)+(cos(2*θ)/n)) 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))*(cos(Angle turned by crank)+(cos(2*Angle turned by crank)/Ratio of length of connecting rod to crank length)). 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 & Ratio of length of connecting rod to crank length is denoted by the symbol n.

How to calculate Pressure Head when Connecting Rod is not very long as compared to Crank Length?

The Pressure head when connecting rod is not very long as compared to crank length 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))*(cos(Angle turned by crank)+(cos(2*Angle turned by crank)/Ratio of length of connecting rod to crank length)). To calculate Pressure Head when Connecting Rod is not very long as compared to Crank Length, 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) & Ratio of length of connecting rod to crank length (n). 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 & Ratio of length of connecting rod to crank length 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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