Velocity of water in suction and delivery pipes due to acceleration or retardation Calculator

✖Area of cylinder is the area of the circular base of a cylinder, used to calculate the volume of a single acting pump.ⓘ Area of cylinder [A]			+10% -10%
✖Area of Suction Pipe is the cross-sectional area of the pipe that connects the pump to the suction source in a single acting pump system.ⓘ Area of Suction Pipe [a_s]			+10% -10%
✖Angular Velocity is the measure of how fast the pump's crankshaft rotates, determining the pump's speed and efficiency in a single acting pump system.ⓘ Angular Velocity [ω]			+10% -10%
✖Radius of crank is the distance from the axis of rotation to the point where the connecting rod is attached in a single acting pump.ⓘ Radius of crank [r]			+10% -10%
✖Angle turned by crank is the rotation of the crankshaft in a single acting pump that converts rotary motion into reciprocating motion.ⓘ Angle turned by crank [θ_crnk]			+10% -10%

✖Velocity is the speed at which a single acting pump's piston moves, affecting the pump's overall efficiency and fluid displacement.ⓘ Velocity of water in suction and delivery pipes due to acceleration or retardation [v]

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Velocity of water in suction and delivery pipes due to acceleration or retardation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity = (Area of cylinder/Area of Suction Pipe)*(Angular Velocity*Radius of crank*sin(Angle turned by crank))
v = (A/a_s)*(ω*r*sin(θ_crnk))
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 - (Measured in Meter per Second) - Velocity is the speed at which a single acting pump's piston moves, affecting the pump's overall efficiency and fluid displacement.
Area of cylinder - (Measured in Square Meter) - Area of cylinder is the area of the circular base of a cylinder, used to calculate the volume of a single acting pump.
Area of Suction Pipe - (Measured in Square Meter) - Area of Suction Pipe is the cross-sectional area of the pipe that connects the pump to the suction source in a single acting pump system.
Angular Velocity - (Measured in Radian per Second) - Angular Velocity is the measure of how fast the pump's crankshaft rotates, determining the pump's speed and efficiency in a single acting pump system.
Radius of crank - (Measured in Meter) - Radius of crank is the distance from the axis of rotation to the point where the connecting rod is attached in a single acting pump.
Angle turned by crank - (Measured in Radian) - Angle turned by crank is the rotation of the crankshaft in a single acting pump that converts rotary motion into reciprocating motion.

STEP 1: Convert Input(s) to Base Unit

Area of cylinder: 0.6 Square Meter --> 0.6 Square Meter No Conversion Required
Area of Suction Pipe: 0.39 Square Meter --> 0.39 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = (A/a_s)*(ω*r*sin(θ_crnk)) --> (0.6/0.39)*(2.5*0.09*sin(12.8))

Evaluating ... ...

v = 0.0801380163813019

STEP 3: Convert Result to Output's Unit

0.0801380163813019 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0801380163813019 ≈ 0.080138 Meter per Second <-- Velocity

(Calculation completed in 00.573 seconds)

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< Single Acting Pumps Calculators

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

LaTeX Go Work done against friction in suction pipe = ((Density*[g]*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 Single-acting Pump considering all Head Losses

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

Work done against friction in delivery pipe

LaTeX Go Work done against friction in delivery pipe = (2/3)*Length of Stroke*Head loss due to friction in delivery pipe

Work done against friction in suction pipe

LaTeX Go Work done against friction in suction pipe = (2/3)*Length of Stroke*Head Loss due to Friction in Suction Pipe

Velocity of water in suction and delivery pipes due to acceleration or retardation Formula

LaTeX Go

Velocity = (Area of cylinder/Area of Suction Pipe)*(Angular Velocity*Radius of crank*sin(Angle turned by crank))
v = (A/a_s)*(ω*r*sin(θ_crnk))

What is Fluid Acceleration?

Fluid acceleration refers to the change in velocity of a fluid particle as it moves through a flow field. It can occur due to variations in the flow direction, speed, or both, and is influenced by factors like pressure gradients, gravity, and external forces. Fluid acceleration plays a key role in fluid dynamics, affecting how fluids behave in systems such as pipelines, nozzles, and open channels. Understanding it is essential for analyzing flow behavior and designing efficient fluid transport systems.

How to Calculate Velocity of water in suction and delivery pipes due to acceleration or retardation?

Velocity of water in suction and delivery pipes due to acceleration or retardation calculator uses Velocity = (Area of cylinder/Area of Suction Pipe)*(Angular Velocity*Radius of crank*sin(Angle turned by crank)) to calculate the Velocity, Velocity of water in suction and delivery pipes due to acceleration or retardation formula is defined as the measure of the velocity of water flowing through suction and delivery pipes of a reciprocating pump, which is affected by the acceleration or retardation of the pump's motion. Velocity is denoted by v symbol.

How to calculate Velocity of water in suction and delivery pipes due to acceleration or retardation using this online calculator? To use this online calculator for Velocity of water in suction and delivery pipes due to acceleration or retardation, enter Area of cylinder (A), Area of Suction Pipe (a_s), Angular Velocity (ω), Radius of crank (r) & Angle turned by crank (θ_crnk) and hit the calculate button. Here is how the Velocity of water in suction and delivery pipes due to acceleration or retardation calculation can be explained with given input values -> 0.080138 = (0.6/0.39)*(2.5*0.09*sin(12.8)).

FAQ

What is Velocity of water in suction and delivery pipes due to acceleration or retardation?

Velocity of water in suction and delivery pipes due to acceleration or retardation formula is defined as the measure of the velocity of water flowing through suction and delivery pipes of a reciprocating pump, which is affected by the acceleration or retardation of the pump's motion and is represented as v = (A/a_s)*(ω*r*sin(θ_crnk)) or Velocity = (Area of cylinder/Area of Suction Pipe)*(Angular Velocity*Radius of crank*sin(Angle turned by crank)). Area of cylinder is the area of the circular base of a cylinder, used to calculate the volume of a single acting pump, Area of Suction Pipe is the cross-sectional area of the pipe that connects the pump to the suction source in a single acting pump system, Angular Velocity is the measure of how fast the pump's crankshaft rotates, determining the pump's speed and efficiency in a single acting pump system, Radius of crank is the distance from the axis of rotation to the point where the connecting rod is attached in a single acting pump & Angle turned by crank is the rotation of the crankshaft in a single acting pump that converts rotary motion into reciprocating motion.

How to calculate Velocity of water in suction and delivery pipes due to acceleration or retardation?

Velocity of water in suction and delivery pipes due to acceleration or retardation formula is defined as the measure of the velocity of water flowing through suction and delivery pipes of a reciprocating pump, which is affected by the acceleration or retardation of the pump's motion is calculated using Velocity = (Area of cylinder/Area of Suction Pipe)*(Angular Velocity*Radius of crank*sin(Angle turned by crank)). To calculate Velocity of water in suction and delivery pipes due to acceleration or retardation, you need Area of cylinder (A), Area of Suction Pipe (a_s), Angular Velocity (ω), Radius of crank (r) & Angle turned by crank (θ_crnk). With our tool, you need to enter the respective value for Area of cylinder, Area of Suction Pipe, Angular Velocity, Radius of crank & Angle turned by crank 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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