Acceleration of Piston Calculator

✖Angular Velocity is the speed at which fluid rotates around a fixed axis, measured in radians per second, describing fluid's rotational motion.ⓘ Angular Velocity [ω]			+10% -10%
✖Radius of crank is the distance from the axis of rotation to the point where the crankpin axis intersects the crank.ⓘ Radius of crank [r]			+10% -10%
✖Time in seconds is the duration of time required for a fluid to flow through a system or complete a process.ⓘ Time in seconds [t_sec]			+10% -10%

✖Acceleration of piston is the rate of change of velocity of a piston in a fluid system, typically measured in meters per second squared.ⓘ Acceleration of Piston [a_p]

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Acceleration of Piston Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acceleration of piston = (Angular Velocity^2)*Radius of crank*cos(Angular Velocity*Time in seconds)
a_p = (ω^2)*r*cos(ω*t_sec)
This formula uses 1 Functions, 4 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

Acceleration of piston - (Measured in Meter per Square Second) - Acceleration of piston is the rate of change of velocity of a piston in a fluid system, typically measured in meters per second squared.
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.
Time in seconds - (Measured in Second) - Time in seconds is the duration of time required for a fluid to flow through a system or complete a process.

STEP 1: Convert Input(s) to Base Unit

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
Time in seconds: 38 Second --> 38 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_p = (ω^2)*r*cos(ω*t_sec) --> (2.5^2)*0.09*cos(2.5*38)

Evaluating ... ...

a_p = 0.410722628059586

STEP 3: Convert Result to Output's Unit

0.410722628059586 Meter per Square Second --> No Conversion Required

FINAL ANSWER

0.410722628059586 ≈ 0.410723 Meter per Square Second <-- Acceleration of piston

(Calculation completed in 00.004 seconds)

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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 Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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< 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

Acceleration of Piston Formula

LaTeX Go

Acceleration of piston = (Angular Velocity^2)*Radius of crank*cos(Angular Velocity*Time in seconds)
a_p = (ω^2)*r*cos(ω*t_sec)

What are Reciprocating Pumps?

The reciprocating pump is a positive displacement pump as it sucks and raises the liquid by actually displacing it with a piston/plunger that executes a reciprocating motion in a closely fitting cylinder. The amount of liquid pumped is equal to the volume displaced by the piston.

How to Calculate Acceleration of Piston?

Acceleration of Piston calculator uses Acceleration of piston = (Angular Velocity^2)*Radius of crank*cos(Angular Velocity*Time in seconds) to calculate the Acceleration of piston, Acceleration of Piston formula is defined as a measure of the rate of change of velocity of the piston in a reciprocating pump, which is crucial in determining the pump's performance and efficiency, particularly in applications where high-speed operation is required. Acceleration of piston is denoted by a_p symbol.

How to calculate Acceleration of Piston using this online calculator? To use this online calculator for Acceleration of Piston, enter Angular Velocity (ω), Radius of crank (r) & Time in seconds (t_sec) and hit the calculate button. Here is how the Acceleration of Piston calculation can be explained with given input values -> 0.410723 = (2.5^2)*0.09*cos(2.5*38).

FAQ

What is Acceleration of Piston?

Acceleration of Piston formula is defined as a measure of the rate of change of velocity of the piston in a reciprocating pump, which is crucial in determining the pump's performance and efficiency, particularly in applications where high-speed operation is required and is represented as a_p = (ω^2)*r*cos(ω*t_sec) or Acceleration of piston = (Angular Velocity^2)*Radius of crank*cos(Angular Velocity*Time in seconds). 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 & Time in seconds is the duration of time required for a fluid to flow through a system or complete a process.

How to calculate Acceleration of Piston?

Acceleration of Piston formula is defined as a measure of the rate of change of velocity of the piston in a reciprocating pump, which is crucial in determining the pump's performance and efficiency, particularly in applications where high-speed operation is required is calculated using Acceleration of piston = (Angular Velocity^2)*Radius of crank*cos(Angular Velocity*Time in seconds). To calculate Acceleration of Piston, you need Angular Velocity (ω), Radius of crank (r) & Time in seconds (t_sec). With our tool, you need to enter the respective value for Angular Velocity, Radius of crank & Time in seconds 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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