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Intensity of pressure due to acceleration Formula

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Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. 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.

482.6466 = 1.225 \cdot 120 \cdot (\frac{0.6}{0.1}) \cdot {2.5}^{2} \cdot 0.09 \cdot \cos (12.8)

482.6466Pa = 1.225kg/m³ \cdot 120m \cdot (\frac{0.6m²}{0.1m²}) \cdot {2.5rad/s}^{2} \cdot 0.09m \cdot \cos (12.8rad)

482.6466 = 1.225 \cdot 120 \cdot (\frac{0.6}{0.1}) \cdot {2.5}^{2} \cdot 0.09 \cdot \cos (12.8)

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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 (12.8rad)

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 (12.8)

Next Step Evaluate

∴

p = 482.64655665664Pa

LAST Step Rounding Answer

∴

p = 482.6466Pa

Intensity of pressure due to acceleration Formula Elements

Variables

Functions

Pressure

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: p

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure

Density

The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Length of Pipe 1

The Length of Pipe 1 describes the length of the pipe in which the liquid is flowing.

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 defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface.

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 cross-sectional area through which liquid is flowing and it is denoted by the symbol a.

Symbol: a

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of pipe

Angular Velocity

The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

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 defined as the distance between crank pin and crank center, i.e. half stroke.

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 in radians is defined as the product of 2 times of pi, speed(rpm), and time.

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, The Intensity of pressure due to acceleration formula is defined as the ratio of force required to accelerate the liquid to the area of pipe. 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- 392815.2 = 1.225*120*(0.6/0.1)*2.5^2*0.09*cos(12.8).

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 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

Variable Name