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(θcrnk)
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 per unit area exerted by a fluid on a surface, typically measured in units of pascals or pounds per square inch.
Density - (Measured in Kilogram per Cubic Meter) - Density is the mass of a fluid per unit volume, typically measured in units of mass per unit volume, such as kilograms per cubic meter.
Length of Pipe 1 - (Measured in Meter) - Length of Pipe 1 is the distance of the first pipe in a fluid system, used to calculate pressure drop and fluid flow rates.
Area of cylinder - (Measured in Square Meter) - Area of cylinder is the area of the portion of a cylinder that is enclosed by the fluid, providing the surface area of the fluid in contact.
Area of pipe - (Measured in Square Meter) - Area of pipe is the internal cross-sectional area of a pipe that allows fluid to flow through it, typically measured in square units.
Angular Velocity - (Measured in Radian per Second) - Angular Velocity is the speed at which fluid rotates around a fixed axis, measured in radians per second, describing fluid's rotational motion.
Radius of crank - (Measured in Meter) - Radius of crank is the distance from the axis of rotation to the point where the crankpin axis intersects the crank.
Angle turned by crank - (Measured in Radian) - Angle turned by crank is the rotation of the crankshaft in a fluid system, measured in radians or degrees, affecting the fluid's flow and pressure.
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: 50.02044 Radian --> 50.02044 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
p = ρ*L1*(A/a)*ω^2*r*cos(θcrnk) --> 1.225*120*(0.6/0.1)*2.5^2*0.09*cos(50.02044)
Evaluating ... ...
p = 481.304270664325
STEP 3: Convert Result to Output's Unit
481.304270664325 Pascal --> No Conversion Required
FINAL ANSWER
481.304270664325 481.3043 Pascal <-- Pressure
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has created this Calculator and 200+ more calculators!
Verifier Image
Verified by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has verified this Calculator and 400+ more calculators!

Fluid Parameters Calculators

Power Required to Drive Pump
​ LaTeX ​ Go Power = Specific Weight*Area of Piston*Length of Stroke*Speed*(Height of centre of cylinder+Height to which liquid is raised)/60
Slip percentage
​ LaTeX ​ Go Slip Percentage = (1-(Actual Discharge/Theoretical Discharge of Pump))*100
Slip of Pump
​ LaTeX ​ Go Pump Slippage = Theoretical Discharge-Actual Discharge
Slip Percentage given Coefficient of Discharge
​ LaTeX ​ Go Slip Percentage = (1-Coefficient of Discharge)*100

Intensity of pressure due to acceleration Formula

​LaTeX ​Go
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(θcrnk)

What are Some Applications of Ceciprocating 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, Intensity of pressure due to acceleration formula is defined as the measure of pressure exerted by a fluid in a reciprocating pump due to the acceleration of the fluid, which is influenced by factors such as fluid density, length of the crank, angular velocity, and crank radius, and is critical in determining the pump's performance and efficiency. 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 crnk) and hit the calculate button. Here is how the Intensity of pressure due to acceleration calculation can be explained with given input values -> 481.3043 = 1.225*120*(0.6/0.1)*2.5^2*0.09*cos(50.02044).

FAQ

What is Intensity of pressure due to acceleration?
Intensity of pressure due to acceleration formula is defined as the measure of pressure exerted by a fluid in a reciprocating pump due to the acceleration of the fluid, which is influenced by factors such as fluid density, length of the crank, angular velocity, and crank radius, and is critical in determining the pump's performance and efficiency and is represented as p = ρ*L1*(A/a)*ω^2*r*cos(θcrnk) or Pressure = Density*Length of Pipe 1*(Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angle turned by crank). Density is the mass of a fluid per unit volume, typically measured in units of mass per unit volume, such as kilograms per cubic meter, Length of Pipe 1 is the distance of the first pipe in a fluid system, used to calculate pressure drop and fluid flow rates, Area of cylinder is the area of the portion of a cylinder that is enclosed by the fluid, providing the surface area of the fluid in contact, Area of pipe is the internal cross-sectional area of a pipe that allows fluid to flow through it, typically measured in square units, Angular Velocity is the speed at which fluid rotates around a fixed axis, measured in radians per second, describing fluid's rotational motion, Radius of crank is the distance from the axis of rotation to the point where the crankpin axis intersects the crank & Angle turned by crank is the rotation of the crankshaft in a fluid system, measured in radians or degrees, affecting the fluid's flow and pressure.
How to calculate Intensity of pressure due to acceleration?
Intensity of pressure due to acceleration formula is defined as the measure of pressure exerted by a fluid in a reciprocating pump due to the acceleration of the fluid, which is influenced by factors such as fluid density, length of the crank, angular velocity, and crank radius, and is critical in determining the pump's performance and efficiency 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 crnk). 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!