Velocity 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_s]			+10% -10%

✖The Velocity of Liquid in the pipe is defined as the product of the ratio of areas of the cylinder to the pipe, angular velocity, the radius of crank and sin of angular velocity and time.ⓘ Velocity of Liquid in Pipe [v_l]

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Velocity of Liquid in Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Liquid = Area of Cylinder/Area of Pipe*Angular Velocity*Radius of Crank*sin(Angular Velocity*Time in Seconds)
v_l = A/a*ω*r*sin(ω*t_s)
This formula uses 1 Functions, 6 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Velocity of Liquid - (Measured in Meter per Second) - The Velocity of Liquid in the pipe is defined as the product of the ratio of areas of the cylinder to the pipe, angular velocity, the radius of crank and sin 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

v_l = A/a*ω*r*sin(ω*t_s) --> 0.6/0.1*2.5*0.09*sin(2.5*38)

Evaluating ... ...

v_l = 0.922403314893763

STEP 3: Convert Result to Output's Unit

0.922403314893763 Meter per Second --> No Conversion Required

FINAL ANSWER

0.922403314893763 ≈ 0.922403 Meter per Second <-- Velocity of Liquid

(Calculation completed in 00.020 seconds)

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< Flow Parameters Calculators

Velocity of Liquid in Pipe

LaTeX Go Velocity of Liquid = Area of Cylinder/Area of Pipe*Angular Velocity*Radius of Crank*sin(Angular Velocity*Time in Seconds)

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Weight of water delivered per second

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Velocity of Liquid in Pipe Formula

LaTeX Go

Velocity of Liquid = Area of Cylinder/Area of Pipe*Angular Velocity*Radius of Crank*sin(Angular Velocity*Time in Seconds)
v_l = A/a*ω*r*sin(ω*t_s)

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 Velocity of Liquid in Pipe?

Velocity of Liquid in Pipe calculator uses Velocity of Liquid = Area of Cylinder/Area of Pipe*Angular Velocity*Radius of Crank*sin(Angular Velocity*Time in Seconds) to calculate the Velocity of Liquid, Velocity of Liquid in Pipe formula is defined as the rate of flow of liquid through a pipe in a reciprocating pump system, influenced by factors such as the cross-sectional area of the pipe, angular velocity, radius, and time, which collectively impact the liquid's movement and pressure. Velocity of Liquid is denoted by v_l symbol.

How to calculate Velocity of Liquid in Pipe using this online calculator? To use this online calculator for Velocity of Liquid in Pipe, enter Area of Cylinder (A), Area of Pipe (a), Angular Velocity (ω), Radius of Crank (r) & Time in Seconds (t_s) and hit the calculate button. Here is how the Velocity of Liquid in Pipe calculation can be explained with given input values -> 0.922403 = 0.6/0.1*2.5*0.09*sin(2.5*38).

FAQ

What is Velocity of Liquid in Pipe?

Velocity of Liquid in Pipe formula is defined as the rate of flow of liquid through a pipe in a reciprocating pump system, influenced by factors such as the cross-sectional area of the pipe, angular velocity, radius, and time, which collectively impact the liquid's movement and pressure and is represented as v_l = A/a*ω*r*sin(ω*t_s) or Velocity of Liquid = Area of Cylinder/Area of Pipe*Angular Velocity*Radius of Crank*sin(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 Velocity of Liquid in Pipe?

Velocity of Liquid in Pipe formula is defined as the rate of flow of liquid through a pipe in a reciprocating pump system, influenced by factors such as the cross-sectional area of the pipe, angular velocity, radius, and time, which collectively impact the liquid's movement and pressure is calculated using Velocity of Liquid = Area of Cylinder/Area of Pipe*Angular Velocity*Radius of Crank*sin(Angular Velocity*Time in Seconds). To calculate Velocity 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_s). 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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