Velocity of water in suction and delivery pipes due to acceleration or retardation 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 suction pipe is the cross-sectional area through which the liquid is sucked.ⓘ Area of Suction Pipe [a_s]			+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%

✖Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.ⓘ Velocity of water in suction and delivery pipes due to acceleration or retardation [v]

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Formula

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

Formula

`"v" = ("A"/"a"_{"s"})*("ω"*"r"*sin("θ"))`

Example

`"0.080138m/s"=("0.6m²"/"0.39m²")*("2.5rad/s"*"0.09m"*sin("12.8rad"))`

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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))
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 a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to 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 Suction Pipe - (Measured in Square Meter) - Area of suction pipe is the cross-sectional area through which the liquid is sucked.
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.

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)) --> (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 00.004 seconds)

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< 9 Single Acting Pumps Calculators

Loss of head due to friction in delivery pipe

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

Loss of head due to friction in suction pipe

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

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

Go Work = ((Density*Acceleration Due to Gravity*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

Go Work = (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))

Pressure Head due to Acceleration in Delivery Pipe

Go Pressure Head due to Acceleration in Delivery Pipe = (Length of delivery pipe*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of delivery pipe)

Pressure Head due to Acceleration in Suction Pipe

Go Pressure head due to acceleration in suction pipe = (Length of suction pipe*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of Suction Pipe)

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

Go Velocity = (Area of cylinder/Area of Suction Pipe)*(Angular Velocity*Radius of crank*sin(Angle turned by crank))

Work done against friction in delivery pipe

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

Work done against friction in suction pipe

Go Work = (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

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))

What is the recommended fluid velocity for a suction pipe?

As a general rule of thumb, suction pipe velocities should be kept below 2 m/s. At higher velocities, the greater friction causes noise, higher energy costs, and increasing erosion, particularly if the fluid contains suspended solids.

What is fluid acceleration?

The acceleration of a fluid particle is the rate of change of its velocity. In the Lagrangian approach, the velocity of a fluid particle is a function of time only since we have described its motion in terms of its position vector.

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, The Velocity of water in suction and delivery pipes due to acceleration or retardation formula is defined as the measurement of the rate and direction of change in position of water. 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) 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?

The Velocity of water in suction and delivery pipes due to acceleration or retardation formula is defined as the measurement of the rate and direction of change in position of water and is represented as v = (A/a_s)*(ω*r*sin(θ)) or Velocity = (Area of cylinder/Area of Suction Pipe)*(Angular Velocity*Radius of crank*sin(Angle turned by crank)). 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 suction pipe is the cross-sectional area through which the liquid is sucked, 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.

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

The Velocity of water in suction and delivery pipes due to acceleration or retardation formula is defined as the measurement of the rate and direction of change in position of water 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). 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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