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Pressure Head when Connecting Rod is not very long as compared to Crank Length 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 crnk)}{[g] \cdot a}) \cdot (\cos (θ crnk) + (\frac{\cos (2 \cdot θ crnk)}{n}))

h_a - Pressure Head due to Acceleration?L₁ - Length of Pipe 1?A - Area of Cylinder?ω - Angular Velocity?r - Radius of Crank?θ_crnk - Angle Turned by Crank?a - Area of Pipe?n - Ratio of Length of Connecting Rod to Crank Length?[g] - Gravitational acceleration on Earth?

Pressure Head when Connecting Rod is not very long as compared to Crank Length Example

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Here is how the Pressure Head when Connecting Rod is not very long as compared to Crank Length equation looks like with Values.

Here is how the Pressure Head when Connecting Rod is not very long as compared to Crank Length equation looks like with Units.

Here is how the Pressure Head when Connecting Rod is not very long as compared to Crank Length equation looks like.

58.3866 = (\frac{120 \cdot 0.6 \cdot ({2.5}^{2}) \cdot 0.09 \cdot \cos (12.8)}{9.8066 \cdot 0.1}) \cdot (\cos (12.8) + (\frac{\cos (2 \cdot 12.8)}{1.9}))

58.3866m = (\frac{120m \cdot 0.6m² \cdot ({2.5rad/s}^{2}) \cdot 0.09m \cdot \cos (12.8°)}{9.8066m/s² \cdot 0.1m²}) \cdot (\cos (12.8°) + (\frac{\cos (2 \cdot 12.8°)}{1.9}))

58.3866 = (\frac{120 \cdot 0.6 \cdot ({2.5}^{2}) \cdot 0.09 \cdot \cos (12.8)}{9.8066 \cdot 0.1}) \cdot (\cos (12.8) + (\frac{\cos (2 \cdot 12.8)}{1.9}))

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Pressure Head when Connecting Rod is not very long as compared to Crank Length Solution

Follow our step by step solution on how to calculate Pressure Head when Connecting Rod is not very long as compared to Crank Length?

FIRST Step Consider the formula

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

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}) \cdot (\cos (12.8°) + (\frac{\cos (2 \cdot 12.8°)}{1.9}))

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}) \cdot (\cos (12.8°) + (\frac{\cos (2 \cdot 12.8°)}{1.9}))

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}) \cdot (\cos (0.2234rad) + (\frac{\cos (2 \cdot 0.2234rad)}{1.9}))

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}) \cdot (\cos (0.2234) + (\frac{\cos (2 \cdot 0.2234)}{1.9}))

Next Step Evaluate

∴

h a = 58.3865746251004m

LAST Step Rounding Answer

∴

h a = 58.3866m

Pressure Head when Connecting Rod is not very long as compared to Crank Length 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.

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.

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.

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.

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.

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: °

Note: Value can be positive or negative.

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.

Ratio of Length of Connecting Rod to Crank Length

Ratio of length of connecting rod to crank length is denoted by the symbol n.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

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)

Credits

Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has created this Formula and 200+ more formulas!

Verified by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has verified this Formula and 200+ more formulas!

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Q = 2 \cdot A p \cdot L \cdot \frac{N}{60}

How to Evaluate Pressure Head when Connecting Rod is not very long as compared to Crank Length?

Pressure Head when Connecting Rod is not very long as compared to Crank Length 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))*(cos(Angle Turned by Crank)+(cos(2*Angle Turned by Crank)/Ratio of Length of Connecting Rod to Crank Length)) to evaluate the Pressure Head due to Acceleration, Pressure Head when Connecting Rod is not very long as compared to Crank Length formula is defined as a measure of the pressure exerted by the connecting rod on the crankshaft in a reciprocating pump, taking into account the crank length, angular velocity, and other factors that affect the pump's performance. Pressure Head due to Acceleration is denoted by h_a symbol.

How to evaluate Pressure Head when Connecting Rod is not very long as compared to Crank Length using this online evaluator? To use this online evaluator for Pressure Head when Connecting Rod is not very long as compared to Crank Length, enter Length of Pipe 1 (L₁), Area of Cylinder (A), Angular Velocity (ω), Radius of Crank (r), Angle Turned by Crank (θ_crnk), Area of Pipe (a) & Ratio of Length of Connecting Rod to Crank Length (n) and hit the calculate button.

FAQs on Pressure Head when Connecting Rod is not very long as compared to Crank Length

What is the formula to find Pressure Head when Connecting Rod is not very long as compared to Crank Length?

The formula of Pressure Head when Connecting Rod is not very long as compared to Crank Length 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))*(cos(Angle Turned by Crank)+(cos(2*Angle Turned by Crank)/Ratio of Length of Connecting Rod to Crank Length)). Here is an example- 58.38657 = ((120*0.6*(2.5^2)*0.09*cos(0.223402144255232))/([g]*0.1))*(cos(0.223402144255232)+(cos(2*0.223402144255232)/1.9)).

How to calculate Pressure Head when Connecting Rod is not very long as compared to Crank Length?

With Length of Pipe 1 (L₁), Area of Cylinder (A), Angular Velocity (ω), Radius of Crank (r), Angle Turned by Crank (θ_crnk), Area of Pipe (a) & Ratio of Length of Connecting Rod to Crank Length (n) we can find Pressure Head when Connecting Rod is not very long as compared to Crank Length 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))*(cos(Angle Turned by Crank)+(cos(2*Angle Turned by Crank)/Ratio of Length of Connecting Rod to Crank Length)). This formula also uses Gravitational acceleration on Earth constant(s) and Cosine (cos) function(s).

Can the Pressure Head when Connecting Rod is not very long as compared to Crank Length be negative?

Yes, the Pressure Head when Connecting Rod is not very long as compared to Crank Length, measured in Length can be negative.

Which unit is used to measure Pressure Head when Connecting Rod is not very long as compared to Crank Length?

Pressure Head when Connecting Rod is not very long as compared to Crank Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Pressure Head when Connecting Rod is not very long as compared to Crank Length can be measured.

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Pressure Head when Connecting Rod is not very long as compared to Crank Length Formula

Pressure Head when Connecting Rod is not very long as compared to Crank Length Example

Pressure Head when Connecting Rod is not very long as compared to Crank Length Solution

Pressure Head when Connecting Rod is not very long as compared to Crank Length Formula Elements

Credits

Other formulas in Double Acting Pumps category

How to Evaluate Pressure Head when Connecting Rod is not very long as compared to Crank Length?

FAQs on Pressure Head when Connecting Rod is not very long as compared to Crank Length

Variable Name