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Intensity of pressure due to acceleration Formula

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Pressure is the force per unit area exerted by a fluid on a surface, typically measured in units of pascals or pounds per square inch. Check FAQs

p = ρ \cdot L 1 \cdot (\frac{A}{a}) \cdot ω^{2} \cdot r \cdot \cos (θ crnk)

p - Pressure?ρ - Density?L₁ - Length of Pipe 1?A - Area of cylinder?a - Area of pipe?ω - Angular Velocity?r - Radius of crank?θ_crnk - Angle turned by crank?

Intensity of pressure due to acceleration Example

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Here is how the Intensity of pressure due to acceleration equation looks like with Values.

Here is how the Intensity of pressure due to acceleration equation looks like with Units.

Here is how the Intensity of pressure due to acceleration equation looks like.

481.3043 = 1.225 \cdot 120 \cdot (\frac{0.6}{0.1}) \cdot {2.5}^{2} \cdot 0.09 \cdot \cos (50.0204)

481.3043Pa = 1.225kg/m³ \cdot 120m \cdot (\frac{0.6m²}{0.1m²}) \cdot {2.5rad/s}^{2} \cdot 0.09m \cdot \cos (50.0204rad)

481.3043 = 1.225 \cdot 120 \cdot (\frac{0.6}{0.1}) \cdot {2.5}^{2} \cdot 0.09 \cdot \cos (50.0204)

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Intensity of pressure due to acceleration Solution

Follow our step by step solution on how to calculate Intensity of pressure due to acceleration?

FIRST Step Consider the formula

p = ρ \cdot L 1 \cdot (\frac{A}{a}) \cdot ω^{2} \cdot r \cdot \cos (θ crnk)

Next Step Substitute values of Variables

∴

p = 1.225kg/m³ \cdot 120m \cdot (\frac{0.6m²}{0.1m²}) \cdot {2.5rad/s}^{2} \cdot 0.09m \cdot \cos (50.0204rad)

Next Step Prepare to Evaluate

∴

p = 1.225 \cdot 120 \cdot (\frac{0.6}{0.1}) \cdot {2.5}^{2} \cdot 0.09 \cdot \cos (50.0204)

Next Step Evaluate

∴

p = 481.304270664325Pa

LAST Step Rounding Answer

∴

p = 481.3043Pa

Intensity of pressure due to acceleration Formula Elements

Variables

Functions

Pressure

Pressure is the force per unit area exerted by a fluid on a surface, typically measured in units of pascals or pounds per square inch.

Symbol: p

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure

Density

Density is the mass of a fluid per unit volume, typically measured in units of mass per unit volume, such as kilograms per cubic meter.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Length of Pipe 1

Length of Pipe 1 is the distance of the first pipe in a fluid system, used to calculate pressure drop and fluid flow rates.

Symbol: L₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Pipe 1

Area of cylinder

Area of cylinder is the area of the portion of a cylinder that is enclosed by the fluid, providing the surface area of the fluid in contact.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of cylinder

Area of pipe

Area of pipe is the internal cross-sectional area of a pipe that allows fluid to flow through it, typically measured in square units.

Symbol: a

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of pipe

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

Angle turned by crank

Angle turned by crank is the rotation of the crankshaft in a fluid system, measured in radians or degrees, affecting the fluid's flow and pressure.

Symbol: θ_crnk

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Angle turned by crank

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

How to Evaluate Intensity of pressure due to acceleration?

Intensity of pressure due to acceleration evaluator uses Pressure = Density*Length of Pipe 1*(Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angle turned by crank) to evaluate the Pressure, Intensity of pressure due to acceleration formula is defined as the measure of pressure exerted by a fluid in a reciprocating pump due to the acceleration of the fluid, which is influenced by factors such as fluid density, length of the crank, angular velocity, and crank radius, and is critical in determining the pump's performance and efficiency. Pressure is denoted by p symbol.

How to evaluate Intensity of pressure due to acceleration using this online evaluator? To use this online evaluator for Intensity of pressure due to acceleration, enter Density (ρ), Length of Pipe 1 (L₁), Area of cylinder (A), Area of pipe (a), Angular Velocity (ω), Radius of crank (r) & Angle turned by crank (θ_crnk) and hit the calculate button.

FAQs on Intensity of pressure due to acceleration

What is the formula to find Intensity of pressure due to acceleration?

The formula of Intensity of pressure due to acceleration is expressed as Pressure = Density*Length of Pipe 1*(Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angle turned by crank). Here is an example- 481.3043 = 1.225*120*(0.6/0.1)*2.5^2*0.09*cos(50.02044).

How to calculate Intensity of pressure due to acceleration?

With Density (ρ), Length of Pipe 1 (L₁), Area of cylinder (A), Area of pipe (a), Angular Velocity (ω), Radius of crank (r) & Angle turned by crank (θ_crnk) we can find Intensity of pressure due to acceleration using the formula - Pressure = Density*Length of Pipe 1*(Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angle turned by crank). This formula also uses Cosine (cos) function(s).

Can the Intensity of pressure due to acceleration be negative?

Yes, the Intensity of pressure due to acceleration, measured in Pressure can be negative.

Which unit is used to measure Intensity of pressure due to acceleration?

Intensity of pressure due to acceleration is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Intensity of pressure due to acceleration can be measured.

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Intensity of pressure due to acceleration Formula

Intensity of pressure due to acceleration Example

Intensity of pressure due to acceleration Solution

Intensity of pressure due to acceleration Formula Elements

Other formulas in Fluid Parameters category

How to Evaluate Intensity of pressure due to acceleration?

FAQs on Intensity of pressure due to acceleration

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