Corresponding distance x travelled by Piston Calculator

✖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%
✖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%
✖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%

✖Distance travelled by piston is the movement of the piston in a cylinder, which is a critical parameter in fluid dynamics and engine performance analysis.ⓘ Corresponding distance x travelled by Piston [x]

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Corresponding distance x travelled by Piston Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Distance travelled by piston - (Measured in Meter) - Distance travelled by piston is the movement of the piston in a cylinder, which is a critical parameter in fluid dynamics and engine performance analysis.
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.
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.
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

Radius of crank: 0.09 Meter --> 0.09 Meter No Conversion Required
Angular Velocity: 2.5 Radian per Second --> 2.5 Radian per Second No Conversion Required
Time in seconds: 38 Second --> 38 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x = r*(1-cos(ω*t_sec)) --> 0.09*(1-cos(2.5*38))

Evaluating ... ...

x = 0.0242843795104662

STEP 3: Convert Result to Output's Unit

0.0242843795104662 Meter --> No Conversion Required

FINAL ANSWER

0.0242843795104662 ≈ 0.024284 Meter <-- Distance travelled by piston

(Calculation completed in 00.004 seconds)

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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National Institute of Technology (NIT), Tiruchirapalli

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< Fluid Parameters Calculators

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Slip Percentage given Coefficient of Discharge

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Corresponding distance x travelled by Piston Formula

LaTeX Go

Distance travelled by piston = Radius of crank*(1-cos(Angular Velocity*Time in seconds))
x = r*(1-cos(ω*t_sec))

What is Piston?

A piston is a cylindrical component that moves back and forth inside the cylinder of an engine or pump. It converts the energy from expanding gases or fluids into mechanical motion, enabling power generation or fluid transfer. Pistons are commonly found in internal combustion engines, hydraulic systems, and compressors, playing a key role in creating pressure and motion within these systems.

How to Calculate Corresponding distance x travelled by Piston?

Corresponding distance x travelled by Piston calculator uses Distance travelled by piston = Radius of crank*(1-cos(Angular Velocity*Time in seconds)) to calculate the Distance travelled by piston, Corresponding distance x travelled by Piston formula is defined as the distance travelled by the piston in a reciprocating pump, which is a critical parameter in determining the pump's efficiency and performance, and is influenced by factors such as the crank radius, angular velocity, and time. Distance travelled by piston is denoted by x symbol.

How to calculate Corresponding distance x travelled by Piston using this online calculator? To use this online calculator for Corresponding distance x travelled by Piston, enter Radius of crank (r), Angular Velocity (ω) & Time in seconds (t_sec) and hit the calculate button. Here is how the Corresponding distance x travelled by Piston calculation can be explained with given input values -> 0.024284 = 0.09*(1-cos(2.5*38)).

FAQ

What is Corresponding distance x travelled by Piston?

Corresponding distance x travelled by Piston formula is defined as the distance travelled by the piston in a reciprocating pump, which is a critical parameter in determining the pump's efficiency and performance, and is influenced by factors such as the crank radius, angular velocity, and time and is represented as x = r*(1-cos(ω*t_sec)) or Distance travelled by piston = Radius of crank*(1-cos(Angular Velocity*Time in seconds)). Radius of crank is the distance from the axis of rotation to the point where the crankpin axis intersects the crank, Angular Velocity is the speed at which fluid rotates around a fixed axis, measured in radians per second, describing fluid's rotational motion & Time in seconds is the duration of time required for a fluid to flow through a system or complete a process.

How to calculate Corresponding distance x travelled by Piston?

Corresponding distance x travelled by Piston formula is defined as the distance travelled by the piston in a reciprocating pump, which is a critical parameter in determining the pump's efficiency and performance, and is influenced by factors such as the crank radius, angular velocity, and time is calculated using Distance travelled by piston = Radius of crank*(1-cos(Angular Velocity*Time in seconds)). To calculate Corresponding distance x travelled by Piston, you need Radius of crank (r), Angular Velocity (ω) & Time in seconds (t_sec). With our tool, you need to enter the respective value for Radius of crank, Angular Velocity & 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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