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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 pipe*sin(Theta))
v = (A/as)*(ω*R*sin(ϑ))
This formula uses 1 Functions, 5 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Area of cylinder - Area of cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface. (Measured in Square Meter)
Area of suction pipe - Area of suction pipe is the cross-sectional area through which the liquid is sucked. (Measured in Square Meter)
Angular Velocity - 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. (Measured in Radian per Second)
Radius of pipe - The Radius of pipe is considered in the laminar flow. (Measured in Meter)
Theta - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Area of cylinder: 0.5 Square Meter --> 0.5 Square Meter No Conversion Required
Area of suction pipe: 0.1 Square Meter --> 0.1 Square Meter No Conversion Required
Angular Velocity: 1 Radian per Second --> 1 Radian per Second No Conversion Required
Radius of pipe: 20 Meter --> 20 Meter No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = (A/as)*(ω*R*sin(ϑ)) --> (0.5/0.1)*(1*20*sin(0.5235987755982))
Evaluating ... ...
v = 50
STEP 3: Convert Result to Output's Unit
50 Meter per Second --> No Conversion Required
FINAL ANSWER
50 Meter per Second <-- Velocity
(Calculation completed in 00.015 seconds)

10+ Reciprocating pumps Calculators

Power required to drive double acting reciprocating pump
power = 2*Specific Weight*Area of piston*Length of stroke*Speed*(Height of the centre of the cylinder+Height to which the liquid is raised)/60000 Go
Power required to drive the pump
power = Specific Weight*Area of piston*Length of stroke*Speed*(Height of the centre of the cylinder+Height to which the liquid is raised)/60000 Go
Weight of water delivered in terms of area, stroke length and speed
weight_of_liquid = Specific Weight*Area of piston*Length of stroke*Speed/60 Go
Slip percentage
slip_percentage = (1-(Actual discharge of a pump/Theoretical discharge of a pump))*100 Go
Co-efficient of discharge of pump
coefficient_of_discharge = Actual discharge/Theoretical discharge Go
Cross sectional area of piston given volume of liquid
area_of_piston = Volume of liquid sucked/Length of stroke Go
Length of the stroke given volume of liquid
Length_of_stroke = Volume of liquid sucked/Area of piston Go
Slip of the pump
pump_slippage = Theoretical discharge-Actual discharge Go
Weight of water delivered per second
weight_of_liquid = Specific Weight*Discharge Go
Slip Percentage in terms of coefficient of discharge
slip_percentage = (1-Coefficient of Discharge)*100 Go

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 pipe*sin(Theta))
v = (A/as)*(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 pipe*sin(Theta)) 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 (as), Angular Velocity (ω), Radius of pipe (R) & Theta (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 -> 50 = (0.5/0.1)*(1*20*sin(0.5235987755982)).

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/as)*(ω*R*sin(ϑ)) or velocity = (Area of cylinder/Area of suction pipe)*(Angular Velocity*Radius of pipe*sin(Theta)). 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, The Radius of pipe is considered in the laminar flow & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
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 pipe*sin(Theta)). 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 (as), Angular Velocity (ω), Radius of pipe (R) & Theta (ϑ). With our tool, you need to enter the respective value for Area of cylinder, Area of suction pipe, Angular Velocity, Radius of pipe & Theta and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Velocity?
In this formula, Velocity uses Area of cylinder, Area of suction pipe, Angular Velocity, Radius of pipe & Theta. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • weight_of_liquid = Specific Weight*Discharge
  • power = Specific Weight*Area of piston*Length of stroke*Speed*(Height of the centre of the cylinder+Height to which the liquid is raised)/60000
  • area_of_piston = Volume of liquid sucked/Length of stroke
  • Length_of_stroke = Volume of liquid sucked/Area of piston
  • weight_of_liquid = Specific Weight*Area of piston*Length of stroke*Speed/60
  • power = 2*Specific Weight*Area of piston*Length of stroke*Speed*(Height of the centre of the cylinder+Height to which the liquid is raised)/60000
  • coefficient_of_discharge = Actual discharge/Theoretical discharge
  • pump_slippage = Theoretical discharge-Actual discharge
  • slip_percentage = (1-Coefficient of Discharge)*100
  • slip_percentage = (1-(Actual discharge of a pump/Theoretical discharge of a pump))*100
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