Intensity of pressure due to acceleration Calculator

✖The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%
✖The Length of Pipe 1 describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe 1 [L₁]			+10% -10%
✖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%
✖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%

✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Intensity of pressure due to acceleration [p]

⎘ Copy

👎

Formula

✖

Intensity of pressure due to acceleration

Formula

`"p" = "ρ"*"L"_{"1"}*("A"/"a")*"ω"^2*"r"*cos("θ")`

Example

`"482.6466Pa"="1.225kg/m³"*"120m"*("0.6m²"/"0.1m²")*("2.5rad/s")^2*"0.09m"*cos("12.8rad")`

Calculator

LaTeX

Reset

👍

Download Fluid Mechanics Formula PDF

Intensity of pressure due to acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure = Density*Length of Pipe 1*(Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angle turned by crank)
p = ρ*L₁*(A/a)*ω^2*r*cos(θ)
This formula uses 1 Functions, 8 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

Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Length of Pipe 1 - (Measured in Meter) - The Length of Pipe 1 describes the length of the pipe in which the liquid is flowing.
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.
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

Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Length of Pipe 1: 120 Meter --> 120 Meter No Conversion Required
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
Angle turned by crank: 12.8 Radian --> 12.8 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = ρ*L₁*(A/a)*ω^2*r*cos(θ) --> 1.225*120*(0.6/0.1)*2.5^2*0.09*cos(12.8)

Evaluating ... ...

p = 482.64655665664

STEP 3: Convert Result to Output's Unit

482.64655665664 Pascal --> No Conversion Required

FINAL ANSWER

482.64655665664 ≈ 482.6466 Pascal <-- Pressure

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Fluid Mechanics » Fluid Machinery » Reciprocating Pumps » Fluid Parameters » Intensity of pressure due to acceleration

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 Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has verified this Calculator and 400+ more calculators!

< 13 Fluid Parameters Calculators

Intensity of pressure due to acceleration

Go Pressure = Density*Length of Pipe 1*(Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angle turned by crank)

Power Required to Drive Pump

Go Power = Specific Weight*Area of Piston*Length of Stroke*Speed*(Height of centre of cylinder+Height to which liquid is raised)/60

Darcy-Weisbach equation

Go Head loss due to friction = (4*Coefficient of Friction*Length of Pipe 1*Velocity of Liquid^2)/(Diameter of delivery pipe*2*[g])

Acceleration of Piston

Go Acceleration of piston = (Angular Velocity^2)*Radius of crank*cos(Angular Velocity*Time in seconds)

Velocity of Piston

Go Velocity of Piston = Angular Velocity*Radius of crank*sin(Angular Velocity*Time in seconds)

Corresponding distance x travelled by Piston

Go Distance travelled by piston = Radius of crank*(1-cos(Angular Velocity*Time in seconds))

Angle Turned by Crank in Time t

Go Angle turned by crank = 2*pi*(Speed/60)*Time in seconds

Resultant Force on body moving in Fluid with certain Density

Go Resultant Force = sqrt(Drag Force^2+Lift Force^2)

Slip percentage

Go Slip Percentage = (1-(Actual Discharge/Theoretical Discharge of Pump))*100

Cross sectional area of piston given volume of liquid

Go Area of Piston = Volume of Liquid sucked/Length of Stroke

Length of Stroke given Volume of Liquid

Go Length of Stroke = Volume of Liquid sucked/Area of Piston

Slip of Pump

Go Pump Slippage = Theoretical Discharge-Actual Discharge

Slip Percentage given Coefficient of Discharge

Go Slip Percentage = (1-Coefficient of Discharge)*100

Intensity of pressure due to acceleration Formula

Pressure = Density*Length of Pipe 1*(Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angle turned by crank)
p = ρ*L₁*(A/a)*ω^2*r*cos(θ)

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 Intensity of pressure due to acceleration?

Intensity of pressure due to acceleration calculator uses Pressure = Density*Length of Pipe 1*(Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angle turned by crank) to calculate the Pressure, The Intensity of pressure due to acceleration formula is defined as the ratio of force required to accelerate the liquid to the area of pipe. Pressure is denoted by p symbol.

How to calculate Intensity of pressure due to acceleration using this online calculator? To use this online calculator for Intensity of pressure due to acceleration, enter Density (ρ), Length of Pipe 1 (L₁), Area of cylinder (A), Area of pipe (a), Angular Velocity (ω), Radius of crank (r) & Angle turned by crank (θ) and hit the calculate button. Here is how the Intensity of pressure due to acceleration calculation can be explained with given input values -> 392815.2 = 1.225*120*(0.6/0.1)*2.5^2*0.09*cos(12.8).

FAQ

What is Intensity of pressure due to acceleration?

The Intensity of pressure due to acceleration formula is defined as the ratio of force required to accelerate the liquid to the area of pipe and is represented as p = ρ*L₁*(A/a)*ω^2*r*cos(θ) or Pressure = Density*Length of Pipe 1*(Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angle turned by crank). The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object, The Length of Pipe 1 describes the length of the pipe in which the liquid is flowing, 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 & Angle turned by crank in radians is defined as the product of 2 times of pi, speed(rpm), and time.

How to calculate Intensity of pressure due to acceleration?

The Intensity of pressure due to acceleration formula is defined as the ratio of force required to accelerate the liquid to the area of pipe is calculated using Pressure = Density*Length of Pipe 1*(Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angle turned by crank). To calculate Intensity of pressure due to acceleration, you need Density (ρ), Length of Pipe 1 (L₁), Area of cylinder (A), Area of pipe (a), Angular Velocity (ω), Radius of crank (r) & Angle turned by crank (θ). With our tool, you need to enter the respective value for Density, Length of Pipe 1, Area of cylinder, Area of 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.

Home

FREE PDFs

🔍 Search