Acceleration of liquid in pipe Calculator

✖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%
✖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%
✖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%
✖Time in seconds is what a clock reads, it is a scalar quantity.ⓘ Time in seconds [t_sec]			+10% -10%

✖Acceleration of liquid flowing is defined as the product of ratio of areas of cylinder to the pipe, square of angular velocity, radius of crank and cos of angular velocity and time.ⓘ Acceleration of liquid in pipe [a_l]

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Formula

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Acceleration of liquid in pipe

Formula

`"a"_{"l"} = ("A"/"a")*"ω"^2*"r"*cos("ω"*"t"_{"sec"})`

Example

`"2.464336m/s²"=("0.6m²"/"0.1m²")*("2.5rad/s")^2*"0.09m"*cos("2.5rad/s"*"38s")`

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Acceleration of liquid in pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acceleration of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angular Velocity*Time in seconds)
a_l = (A/a)*ω^2*r*cos(ω*t_sec)
This formula uses 1 Functions, 6 Variables

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

Acceleration of Liquid - (Measured in Meter per Square Second) - Acceleration of liquid flowing is defined as the product of ratio of areas of cylinder to the pipe, square of angular velocity, radius of crank and cos of angular velocity and time.
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.
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.
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.
Time in seconds - (Measured in Second) - Time in seconds is what a clock reads, it is a scalar quantity.

STEP 1: Convert Input(s) to Base Unit

Area of cylinder: 0.6 Square Meter --> 0.6 Square Meter No Conversion Required
Area of pipe: 0.1 Square Meter --> 0.1 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
Time in seconds: 38 Second --> 38 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_l = (A/a)*ω^2*r*cos(ω*t_sec) --> (0.6/0.1)*2.5^2*0.09*cos(2.5*38)

Evaluating ... ...

a_l = 2.46433576835752

STEP 3: Convert Result to Output's Unit

2.46433576835752 Meter per Square Second --> No Conversion Required

FINAL ANSWER

2.46433576835752 ≈ 2.464336 Meter per Square Second <-- Acceleration of Liquid

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Reciprocating Pumps » Flow Parameters » Acceleration of liquid in pipe

Credits

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 Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has verified this Calculator and 200+ more calculators!

< 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

Acceleration of liquid in pipe Formula

Acceleration of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angular Velocity*Time in seconds)
a_l = (A/a)*ω^2*r*cos(ω*t_sec)

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 Acceleration of liquid in pipe?

Acceleration of liquid in pipe calculator uses Acceleration of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angular Velocity*Time in seconds) to calculate the Acceleration of Liquid, The Acceleration of liquid in pipe formula is defined as the rate of change of velocity of the fluid in pipe per unit of time. Acceleration of Liquid is denoted by a_l symbol.

How to calculate Acceleration of liquid in pipe using this online calculator? To use this online calculator for Acceleration of liquid in pipe, enter Area of cylinder (A), Area of pipe (a), Angular Velocity (ω), Radius of crank (r) & Time in seconds (t_sec) and hit the calculate button. Here is how the Acceleration of liquid in pipe calculation can be explained with given input values -> 2.464336 = (0.6/0.1)*2.5^2*0.09*cos(2.5*38).

FAQ

What is Acceleration of liquid in pipe?

The Acceleration of liquid in pipe formula is defined as the rate of change of velocity of the fluid in pipe per unit of time and is represented as a_l = (A/a)*ω^2*r*cos(ω*t_sec) or Acceleration of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angular Velocity*Time in seconds). 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 pipe is the cross-sectional area through which liquid is flowing and it is denoted by the symbol a, 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 & Time in seconds is what a clock reads, it is a scalar quantity.

How to calculate Acceleration of liquid in pipe?

The Acceleration of liquid in pipe formula is defined as the rate of change of velocity of the fluid in pipe per unit of time is calculated using Acceleration of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angular Velocity*Time in seconds). To calculate Acceleration of liquid in pipe, you need Area of cylinder (A), Area of pipe (a), Angular Velocity (ω), Radius of crank (r) & Time in seconds (t_sec). With our tool, you need to enter the respective value for Area of cylinder, Area of pipe, Angular Velocity, Radius of crank & Time in seconds 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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