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Pressure head due to acceleration Formula

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Pressure Head Due to Acceleration of liquid is defined as the ratio of the intensity of pressure to the weight density of the liquid. Check FAQs

h a = \frac{L 1 \cdot A \cdot (ω^{2}) \cdot r \cdot \cos (θ c)}{[g] \cdot a}

h_a - Pressure Head Due to Acceleration?L₁ - Length of Pipe 1?A - Area of Cylinder?ω - Angular Velocity?r - Radius of Crank?θ_c - Angle Turned By Crank?a - Area of Pipe?[g] - Gravitational acceleration on Earth?

Pressure head due to acceleration Example

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Here is how the Pressure head due to acceleration equation looks like with Values.

Here is how the Pressure head due to acceleration equation looks like with Units.

Here is how the Pressure head due to acceleration equation looks like.

40.2722 = \frac{120 \cdot 0.6 \cdot ({2.5}^{2}) \cdot 0.09 \cdot \cos (12.8)}{9.8066 \cdot 0.1}

40.2722m = \frac{120m \cdot 0.6m² \cdot ({2.5rad/s}^{2}) \cdot 0.09m \cdot \cos (12.8°)}{9.8066m/s² \cdot 0.1m²}

40.2722 = \frac{120 \cdot 0.6 \cdot ({2.5}^{2}) \cdot 0.09 \cdot \cos (12.8)}{9.8066 \cdot 0.1}

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Pressure head due to acceleration Solution

Follow our step by step solution on how to calculate Pressure head due to acceleration?

FIRST Step Consider the formula

h a = \frac{L 1 \cdot A \cdot (ω^{2}) \cdot r \cdot \cos (θ c)}{[g] \cdot a}

Next Step Substitute values of Variables

∴

h a = \frac{120m \cdot 0.6m² \cdot ({2.5rad/s}^{2}) \cdot 0.09m \cdot \cos (12.8°)}{[g] \cdot 0.1m²}

Next Step Substitute values of Constants

∴

h a = \frac{120m \cdot 0.6m² \cdot ({2.5rad/s}^{2}) \cdot 0.09m \cdot \cos (12.8°)}{9.8066m/s² \cdot 0.1m²}

Next Step Convert Units

∴

h a = \frac{120m \cdot 0.6m² \cdot ({2.5rad/s}^{2}) \cdot 0.09m \cdot \cos (0.2234rad)}{9.8066m/s² \cdot 0.1m²}

Next Step Prepare to Evaluate

∴

h a = \frac{120 \cdot 0.6 \cdot ({2.5}^{2}) \cdot 0.09 \cdot \cos (0.2234)}{9.8066 \cdot 0.1}

Next Step Evaluate

∴

h a = 40.2722120697442m

LAST Step Rounding Answer

∴

h a = 40.2722m

Pressure head due to acceleration Formula Elements

Variables

Constants

Functions

Pressure Head Due to Acceleration

Pressure Head Due to Acceleration of liquid is defined as the ratio of the intensity of pressure to the weight density of the liquid.

Symbol: h_a

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Pressure Head Due to Acceleration

Length of Pipe 1

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

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_c

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle Turned By Crank

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

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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 Flow Parameters category

Go Weight of water delivered per second

W = S w \cdot Q

Go Weight of Water delivered per second given Density and Discharge

W w = ρ w \cdot [g] \cdot Q

How to Evaluate Pressure head due to acceleration?

Pressure head due to acceleration evaluator uses Pressure Head Due to Acceleration = (Length of Pipe 1*Area of Cylinder*(Angular Velocity^2)*Radius of Crank*cos(Angle Turned By Crank))/([g]*Area of Pipe) to evaluate the Pressure Head Due to Acceleration, Pressure head due to acceleration formula is defined as the height of a fluid column that corresponds to the pressure exerted due to the acceleration of the fluid in a reciprocating pump, which is a critical parameter in determining the pump's performance and efficiency. Pressure Head Due to Acceleration is denoted by h_a symbol.

How to evaluate Pressure head due to acceleration using this online evaluator? To use this online evaluator for Pressure head due to acceleration, enter Length of Pipe 1 (L₁), Area of Cylinder (A), Angular Velocity (ω), Radius of Crank (r), Angle Turned By Crank (θ_c) & Area of Pipe (a) and hit the calculate button.

FAQs on Pressure head due to acceleration

What is the formula to find Pressure head due to acceleration?

The formula of Pressure head due to acceleration is expressed as Pressure Head Due to Acceleration = (Length of Pipe 1*Area of Cylinder*(Angular Velocity^2)*Radius of Crank*cos(Angle Turned By Crank))/([g]*Area of Pipe). Here is an example- 40.27221 = (120*0.6*(2.5^2)*0.09*cos(0.223402144255232))/([g]*0.1).

How to calculate Pressure head due to acceleration?

With Length of Pipe 1 (L₁), Area of Cylinder (A), Angular Velocity (ω), Radius of Crank (r), Angle Turned By Crank (θ_c) & Area of Pipe (a) we can find Pressure head due to acceleration using the formula - Pressure Head Due to Acceleration = (Length of Pipe 1*Area of Cylinder*(Angular Velocity^2)*Radius of Crank*cos(Angle Turned By Crank))/([g]*Area of Pipe). This formula also uses Gravitational acceleration on Earth constant(s) and Cosine (cos) function(s).

Can the Pressure head due to acceleration be negative?

Yes, the Pressure head due to acceleration, measured in Length can be negative.

Which unit is used to measure Pressure head due to acceleration?

Pressure head due to acceleration is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Pressure head due to acceleration can be measured.

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Pressure head due to acceleration Formula

Pressure head due to acceleration Example

Pressure head due to acceleration Solution

Pressure head due to acceleration Formula Elements

Other formulas in Flow Parameters category

How to Evaluate Pressure head due to acceleration?

FAQs on Pressure head due to acceleration

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