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Corresponding distance x travelled by Piston Formula

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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. Check FAQs

x = r \cdot (1 - \cos (ω \cdot t sec))

x - Distance travelled by piston?r - Radius of crank?ω - Angular Velocity?t_sec - Time in seconds?

Corresponding distance x travelled by Piston Example

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Here is how the Corresponding distance x travelled by Piston equation looks like with Values.

Here is how the Corresponding distance x travelled by Piston equation looks like with Units.

Here is how the Corresponding distance x travelled by Piston equation looks like.

0.0243 = 0.09 \cdot (1 - \cos (2.5 \cdot 38))

0.0243m = 0.09m \cdot (1 - \cos (2.5rad/s \cdot 38s))

0.0243 = 0.09 \cdot (1 - \cos (2.5 \cdot 38))

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Corresponding distance x travelled by Piston Solution

Follow our step by step solution on how to calculate Corresponding distance x travelled by Piston?

FIRST Step Consider the formula

x = r \cdot (1 - \cos (ω \cdot t sec))

Next Step Substitute values of Variables

∴

x = 0.09m \cdot (1 - \cos (2.5rad/s \cdot 38s))

Next Step Prepare to Evaluate

∴

x = 0.09 \cdot (1 - \cos (2.5 \cdot 38))

Next Step Evaluate

∴

x = 0.0242843795104662m

LAST Step Rounding Answer

∴

x = 0.0243m

Corresponding distance x travelled by Piston Formula Elements

Variables

Functions

Distance travelled by piston

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.

Symbol: x

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance travelled by piston

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

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

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 Corresponding distance x travelled by Piston?

Corresponding distance x travelled by Piston evaluator uses Distance travelled by piston = Radius of crank*(1-cos(Angular Velocity*Time in seconds)) to evaluate 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 evaluate Corresponding distance x travelled by Piston using this online evaluator? To use this online evaluator 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.

FAQs on Corresponding distance x travelled by Piston

What is the formula to find Corresponding distance x travelled by Piston?

The formula of Corresponding distance x travelled by Piston is expressed as Distance travelled by piston = Radius of crank*(1-cos(Angular Velocity*Time in seconds)). Here is an example- 0.024284 = 0.09*(1-cos(2.5*38)).

How to calculate Corresponding distance x travelled by Piston?

With Radius of crank (r), Angular Velocity (ω) & Time in seconds (t_sec) we can find Corresponding distance x travelled by Piston using the formula - Distance travelled by piston = Radius of crank*(1-cos(Angular Velocity*Time in seconds)). This formula also uses Cosine (cos) function(s).

Can the Corresponding distance x travelled by Piston be negative?

Yes, the Corresponding distance x travelled by Piston, measured in Length can be negative.

Which unit is used to measure Corresponding distance x travelled by Piston?

Corresponding distance x travelled by Piston is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Corresponding distance x travelled by Piston can be measured.

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