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Velocity of Piston Formula

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Velocity of Piston is the speed at which the piston moves in a cylinder, affecting the fluid's flow and pressure in the hydraulic system. Check FAQs

v piston = ω \cdot r \cdot \sin (ω \cdot t sec)

v_piston - Velocity of Piston?ω - Angular Velocity?r - Radius of crank?t_sec - Time in seconds?

Velocity of Piston Example

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Here is how the Velocity of Piston equation looks like with Values.

Here is how the Velocity of Piston equation looks like with Units.

Here is how the Velocity of Piston equation looks like.

0.1537 = 2.5 \cdot 0.09 \cdot \sin (2.5 \cdot 38)

0.1537m/s = 2.5rad/s \cdot 0.09m \cdot \sin (2.5rad/s \cdot 38s)

0.1537 = 2.5 \cdot 0.09 \cdot \sin (2.5 \cdot 38)

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Velocity of Piston Solution

Follow our step by step solution on how to calculate Velocity of Piston?

FIRST Step Consider the formula

v piston = ω \cdot r \cdot \sin (ω \cdot t sec)

Next Step Substitute values of Variables

∴

v piston = 2.5rad/s \cdot 0.09m \cdot \sin (2.5rad/s \cdot 38s)

Next Step Prepare to Evaluate

∴

v piston = 2.5 \cdot 0.09 \cdot \sin (2.5 \cdot 38)

Next Step Evaluate

∴

v piston = 0.153733885815627m/s

LAST Step Rounding Answer

∴

v piston = 0.1537m/s

Velocity of Piston Formula Elements

Variables

Functions

Velocity of Piston

Velocity of Piston is the speed at which the piston moves in a cylinder, affecting the fluid's flow and pressure in the hydraulic system.

Symbol: v_piston

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Piston

Angular Velocity

Angular Velocity is the speed at which fluid rotates around a fixed axis, measured in radians per second, describing fluid's rotational motion.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Radius of crank

Radius of crank is the distance from the axis of rotation to the point where the crankpin axis intersects the crank.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of crank

Time in seconds

Time in seconds is the duration of time required for a fluid to flow through a system or complete a process.

Symbol: t_sec

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time in seconds

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Fluid Parameters category

Go Slip of Pump

S = Q th - Q act

Go Slip Percentage given Coefficient of Discharge

SP = (1 - C d) \cdot 100

Go Slip percentage

SP = (1 - (\frac{Q act}{Q theoretical})) \cdot 100

Go Power Required to Drive Pump

P = γ \cdot A p \cdot L \cdot N \cdot \frac{h s + h d}{60}

How to Evaluate Velocity of Piston?

Velocity of Piston evaluator uses Velocity of Piston = Angular Velocity*Radius of crank*sin(Angular Velocity*Time in seconds) to evaluate the Velocity of Piston, Velocity of Piston formula is defined as the speed at which the piston moves in a reciprocating pump, which is a critical component in various industrial applications, and is a key factor in determining the pump's overall performance and efficiency. Velocity of Piston is denoted by v_piston symbol.

How to evaluate Velocity of Piston using this online evaluator? To use this online evaluator for Velocity of Piston, enter Angular Velocity (ω), Radius of crank (r) & Time in seconds (t_sec) and hit the calculate button.

FAQs on Velocity of Piston

What is the formula to find Velocity of Piston?

The formula of Velocity of Piston is expressed as Velocity of Piston = Angular Velocity*Radius of crank*sin(Angular Velocity*Time in seconds). Here is an example- 0.153734 = 2.5*0.09*sin(2.5*38).

How to calculate Velocity of Piston?

With Angular Velocity (ω), Radius of crank (r) & Time in seconds (t_sec) we can find Velocity of Piston using the formula - Velocity of Piston = Angular Velocity*Radius of crank*sin(Angular Velocity*Time in seconds). This formula also uses Sine (sin) function(s).

Can the Velocity of Piston be negative?

Yes, the Velocity of Piston, measured in Speed can be negative.

Which unit is used to measure Velocity of Piston?

Velocity of Piston is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity of Piston can be measured.

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