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Acceleration of Piston Formula

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Acceleration of piston is the rate of change of velocity of a piston in a fluid system, typically measured in meters per second squared. Check FAQs

a p = (ω^{2}) \cdot r \cdot \cos (ω \cdot t sec)

a_p - Acceleration of piston?ω - Angular Velocity?r - Radius of crank?t_sec - Time in seconds?

Acceleration of Piston Example

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

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

Here is how the Acceleration of Piston equation looks like.

0.4107 = ({2.5}^{2}) \cdot 0.09 \cdot \cos (2.5 \cdot 38)

0.4107m/s² = ({2.5rad/s}^{2}) \cdot 0.09m \cdot \cos (2.5rad/s \cdot 38s)

0.4107 = ({2.5}^{2}) \cdot 0.09 \cdot \cos (2.5 \cdot 38)

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Acceleration of Piston Solution

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

FIRST Step Consider the formula

a p = (ω^{2}) \cdot r \cdot \cos (ω \cdot t sec)

Next Step Substitute values of Variables

∴

a p = ({2.5rad/s}^{2}) \cdot 0.09m \cdot \cos (2.5rad/s \cdot 38s)

Next Step Prepare to Evaluate

∴

a p = ({2.5}^{2}) \cdot 0.09 \cdot \cos (2.5 \cdot 38)

Next Step Evaluate

∴

a p = 0.410722628059586m/s²

LAST Step Rounding Answer

∴

a p = 0.4107m/s²

Acceleration of Piston Formula Elements

Variables

Functions

Acceleration of piston

Acceleration of piston is the rate of change of velocity of a piston in a fluid system, typically measured in meters per second squared.

Symbol: a_p

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Acceleration 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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(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 Acceleration of Piston?

Acceleration of Piston evaluator uses Acceleration of piston = (Angular Velocity^2)*Radius of crank*cos(Angular Velocity*Time in seconds) to evaluate 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 evaluate Acceleration of Piston using this online evaluator? To use this online evaluator for Acceleration of Piston, enter Angular Velocity (ω), Radius of crank (r) & Time in seconds (t_sec) and hit the calculate button.

FAQs on Acceleration of Piston

What is the formula to find Acceleration of Piston?

The formula of Acceleration of Piston is expressed as Acceleration of piston = (Angular Velocity^2)*Radius of crank*cos(Angular Velocity*Time in seconds). Here is an example- 0.410723 = (2.5^2)*0.09*cos(2.5*38).

How to calculate Acceleration of Piston?

With Angular Velocity (ω), Radius of crank (r) & Time in seconds (t_sec) we can find Acceleration of Piston using the formula - Acceleration of piston = (Angular Velocity^2)*Radius of crank*cos(Angular Velocity*Time in seconds). This formula also uses Cosine (cos) function(s).

Can the Acceleration of Piston be negative?

Yes, the Acceleration of Piston, measured in Acceleration can be negative.

Which unit is used to measure Acceleration of Piston?

Acceleration of Piston is usually measured using the Meter per Square Second[m/s²] for Acceleration. Kilometer per Square Second[m/s²], Micrometer per Square Second[m/s²], Mile per Square Second[m/s²] are the few other units in which Acceleration of Piston can be measured.

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