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Total Force on Rocker Arm of Exhaust Valve given Suction Pressure Formula

GoTotal Force on Rocker Arm of Exhaust Valve Formula

GoTotal Force on Rocker Arm of Exhaust Valve given Bending Moment near Boss of Rocker Arm Formula

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Total Force on Rocker Arm of Exhaust Valve is the total force acting onto the rocker arm of the exhaust valve. Check FAQs

P e = \frac{π \cdot P b \cdot {d v}^{2}}{4} + m \cdot a v + \frac{π \cdot P smax \cdot {d v}^{2}}{4}

P_e - Total Force on Rocker Arm of Exhaust Valve?P_b - Back Pressure on Engine Valve?d_v - Diameter of Valve Head?m - Mass of Valve?a_v - Acceleration of Valve?P_smax - Maximum Suction Pressure?π - Archimedes' constant?

Total Force on Rocker Arm of Exhaust Valve given Suction Pressure Example

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Here is how the Total Force on Rocker Arm of Exhaust Valve given Suction Pressure equation looks like with Values.

Here is how the Total Force on Rocker Arm of Exhaust Valve given Suction Pressure equation looks like with Units.

Here is how the Total Force on Rocker Arm of Exhaust Valve given Suction Pressure equation looks like.

1733.9346 = \frac{3.1416 \cdot 0.8 \cdot 50^{2}}{4} + 0.45 \cdot 140 + \frac{3.1416 \cdot 0.051 \cdot 50^{2}}{4}

1733.9346N = \frac{3.1416 \cdot 0.8MPa \cdot {50mm}^{2}}{4} + 0.45kg \cdot 140m/s² + \frac{3.1416 \cdot 0.051N/mm² \cdot {50mm}^{2}}{4}

1733.9346 = \frac{3.1416 \cdot 0.8 \cdot 50^{2}}{4} + 0.45 \cdot 140 + \frac{3.1416 \cdot 0.051 \cdot 50^{2}}{4}

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Total Force on Rocker Arm of Exhaust Valve given Suction Pressure Solution

Follow our step by step solution on how to calculate Total Force on Rocker Arm of Exhaust Valve given Suction Pressure?

FIRST Step Consider the formula

P e = \frac{π \cdot P b \cdot {d v}^{2}}{4} + m \cdot a v + \frac{π \cdot P smax \cdot {d v}^{2}}{4}

Next Step Substitute values of Variables

∴

P e = \frac{π \cdot 0.8MPa \cdot {50mm}^{2}}{4} + 0.45kg \cdot 140m/s² + \frac{π \cdot 0.051N/mm² \cdot {50mm}^{2}}{4}

Next Step Substitute values of Constants

∴

P e = \frac{3.1416 \cdot 0.8MPa \cdot {50mm}^{2}}{4} + 0.45kg \cdot 140m/s² + \frac{3.1416 \cdot 0.051N/mm² \cdot {50mm}^{2}}{4}

Next Step Convert Units

∴

P e = \frac{3.1416 \cdot 800000Pa \cdot {0.05m}^{2}}{4} + 0.45kg \cdot 140m/s² + \frac{3.1416 \cdot 51000Pa \cdot {0.05m}^{2}}{4}

Next Step Prepare to Evaluate

∴

P e = \frac{3.1416 \cdot 800000 \cdot {0.05}^{2}}{4} + 0.45 \cdot 140 + \frac{3.1416 \cdot 51000 \cdot {0.05}^{2}}{4}

Next Step Evaluate

∴

P e = 1733.93459262807N

LAST Step Rounding Answer

∴

P e = 1733.9346N

Total Force on Rocker Arm of Exhaust Valve given Suction Pressure Formula Elements

Variables

Constants

Total Force on Rocker Arm of Exhaust Valve

Total Force on Rocker Arm of Exhaust Valve is the total force acting onto the rocker arm of the exhaust valve.

Symbol: P_e

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Total Force on Rocker Arm of Exhaust Valve

Back Pressure on Engine Valve

Back Pressure on Engine Valve is the pressure exerted onto the valve when it opens.

Symbol: P_b

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Back Pressure on Engine Valve

Diameter of Valve Head

Diameter of Valve Head is the diameter of the top part of valve of an IC engine, valve intakes and exhausts gases to and from an engine.

Symbol: d_v

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Valve Head

Mass of Valve

Mass of Valve is the mass (a measure of the amount of matter in valve) of the valve.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Valve

Acceleration of Valve

Acceleration of Valve is the acceleration with which the valve opens or closes.

Symbol: a_v

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration of Valve

Maximum Suction Pressure

Maximum Suction Pressure is the amount of pressure generated by the gases during its flow from an obstruction.

Symbol: P_smax

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Maximum Suction Pressure

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Total Force on Rocker Arm of Exhaust Valve

Go Total Force on Rocker Arm of Exhaust Valve

P e = P g + P + P sr

Go Total Force on Rocker Arm of Exhaust Valve given Bending Moment near Boss of Rocker Arm

P e = \frac{M ba}{a - d 1}

Other formulas in Force on Rocker Arm of Valves category

Go Gas Load on Exhaust Valve when it Opens

P g = \frac{π \cdot P b \cdot {d v}^{2}}{4}

Go Back Pressure when Exhaust Valve Opens

P b = \frac{4 \cdot P g}{π \cdot {d v}^{2}}

Go Downward Inertia Force on Exhaust Valve as it Moves Upwards

P = m \cdot a v

Go Initial Spring Force on Exhaust Valve

P sr = \frac{π \cdot P smax \cdot {d v}^{2}}{4}

How to Evaluate Total Force on Rocker Arm of Exhaust Valve given Suction Pressure?

Total Force on Rocker Arm of Exhaust Valve given Suction Pressure evaluator uses Total Force on Rocker Arm of Exhaust Valve = (pi*Back Pressure on Engine Valve*Diameter of Valve Head^2)/4+Mass of Valve*Acceleration of Valve+(pi*Maximum Suction Pressure*Diameter of Valve Head^2)/4 to evaluate the Total Force on Rocker Arm of Exhaust Valve, The Total force on rocker arm of exhaust valve given suction pressure is the total force acting onto the rocker arm of the exhaust valve due to gas load, inertia force, and spring force. Total Force on Rocker Arm of Exhaust Valve is denoted by P_e symbol.

How to evaluate Total Force on Rocker Arm of Exhaust Valve given Suction Pressure using this online evaluator? To use this online evaluator for Total Force on Rocker Arm of Exhaust Valve given Suction Pressure, enter Back Pressure on Engine Valve (P_b), Diameter of Valve Head (d_v), Mass of Valve (m), Acceleration of Valve (a_v) & Maximum Suction Pressure (P_smax) and hit the calculate button.

FAQs on Total Force on Rocker Arm of Exhaust Valve given Suction Pressure

What is the formula to find Total Force on Rocker Arm of Exhaust Valve given Suction Pressure?

The formula of Total Force on Rocker Arm of Exhaust Valve given Suction Pressure is expressed as Total Force on Rocker Arm of Exhaust Valve = (pi*Back Pressure on Engine Valve*Diameter of Valve Head^2)/4+Mass of Valve*Acceleration of Valve+(pi*Maximum Suction Pressure*Diameter of Valve Head^2)/4. Here is an example- 1733.935 = (pi*800000*0.05^2)/4+0.45*140+(pi*51000*0.05^2)/4.

How to calculate Total Force on Rocker Arm of Exhaust Valve given Suction Pressure?

With Back Pressure on Engine Valve (P_b), Diameter of Valve Head (d_v), Mass of Valve (m), Acceleration of Valve (a_v) & Maximum Suction Pressure (P_smax) we can find Total Force on Rocker Arm of Exhaust Valve given Suction Pressure using the formula - Total Force on Rocker Arm of Exhaust Valve = (pi*Back Pressure on Engine Valve*Diameter of Valve Head^2)/4+Mass of Valve*Acceleration of Valve+(pi*Maximum Suction Pressure*Diameter of Valve Head^2)/4. This formula also uses Archimedes' constant .

What are the other ways to Calculate Total Force on Rocker Arm of Exhaust Valve?

Here are the different ways to Calculate Total Force on Rocker Arm of Exhaust Valve-

Total Force on Rocker Arm of Exhaust Valve=Gas Load on Exhaust Valve+Inertia Force on Valve+Spring Force on Rocker Arm Valve
Total Force on Rocker Arm of Exhaust Valve=Bending Moment in Rocker Arm/(Length of Rocker Arm on Exhaust Valve Side-Diameter of Fulcrum Pin)

Can the Total Force on Rocker Arm of Exhaust Valve given Suction Pressure be negative?

No, the Total Force on Rocker Arm of Exhaust Valve given Suction Pressure, measured in Force cannot be negative.

Which unit is used to measure Total Force on Rocker Arm of Exhaust Valve given Suction Pressure?

Total Force on Rocker Arm of Exhaust Valve given Suction Pressure is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Total Force on Rocker Arm of Exhaust Valve given Suction Pressure can be measured.

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Total Force on Rocker Arm of Exhaust Valve given Suction Pressure Formula

​GoTotal Force on Rocker Arm of Exhaust Valve Formula

​GoTotal Force on Rocker Arm of Exhaust Valve given Bending Moment near Boss of Rocker Arm Formula

Total Force on Rocker Arm of Exhaust Valve given Suction Pressure Example

Total Force on Rocker Arm of Exhaust Valve given Suction Pressure Solution

Total Force on Rocker Arm of Exhaust Valve given Suction Pressure Formula Elements

Other Formulas to find Total Force on Rocker Arm of Exhaust Valve

Other formulas in Force on Rocker Arm of Valves category

How to Evaluate Total Force on Rocker Arm of Exhaust Valve given Suction Pressure?

FAQs on Total Force on Rocker Arm of Exhaust Valve given Suction Pressure

Variable Name

GoTotal Force on Rocker Arm of Exhaust Valve Formula

GoTotal Force on Rocker Arm of Exhaust Valve given Bending Moment near Boss of Rocker Arm Formula