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Theoretical Power of Piston Pump Formula

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Theoretical Power for Piston Pump is the theoretical value of the power delivered to the pump. Check FAQs

P the = 2 \cdot π \cdot N d1 \cdot T th

P_the - Theoretical Power for Piston Pump?N_d1 - Angular Speed of Driving Member in Piston Pump?T_th - Theoretical Torque?π - Archimedes' constant?

Theoretical Power of Piston Pump Example

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Here is how the Theoretical Power of Piston Pump equation looks like with Values.

Here is how the Theoretical Power of Piston Pump equation looks like with Units.

Here is how the Theoretical Power of Piston Pump equation looks like.

1617.8256 = 2 \cdot 3.1416 \cdot 20.49 \cdot 120

1617.8256W = 2 \cdot 3.1416 \cdot 20.49rev/min \cdot 120N*m

1617.8256 = 2 \cdot 3.1416 \cdot 20.49 \cdot 120

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Theoretical Power of Piston Pump Solution

Follow our step by step solution on how to calculate Theoretical Power of Piston Pump?

FIRST Step Consider the formula

P the = 2 \cdot π \cdot N d1 \cdot T th

Next Step Substitute values of Variables

∴

P the = 2 \cdot π \cdot 20.49rev/min \cdot 120N*m

Next Step Substitute values of Constants

∴

P the = 2 \cdot 3.1416 \cdot 20.49rev/min \cdot 120N*m

Next Step Convert Units

∴

P the = 2 \cdot 3.1416 \cdot 2.1457rad/s \cdot 120N*m

Next Step Prepare to Evaluate

∴

P the = 2 \cdot 3.1416 \cdot 2.1457 \cdot 120

Next Step Evaluate

∴

P the = 1617.82555334418W

LAST Step Rounding Answer

∴

P the = 1617.8256W

Theoretical Power of Piston Pump Formula Elements

Variables

Constants

Theoretical Power for Piston Pump

Theoretical Power for Piston Pump is the theoretical value of the power delivered to the pump.

Symbol: P_the

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Theoretical Power for Piston Pump

Angular Speed of Driving Member in Piston Pump

The Angular Speed of Driving Member in Piston Pump is the rate of change of angular position of the driving or the input member.

Symbol: N_d1

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Angular Speed of Driving Member in Piston Pump

Theoretical Torque

Theoretical torque is the theoretical value of the torque developed by the pump.

Symbol: T_th

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Theoretical Torque

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 in Piston Pumps category

Go Stroke Length of Axial Piston Pump

L s = d b \cdot \tan (θ)

Go Theoretical Volumetric Displacement given Area of Piston and Stroke Length

V p = n \cdot A p \cdot L s

Go Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination

V p = n \cdot A p \cdot d b \cdot \tan (θ)

Go Piston Pump Constant K

K = \frac{π \cdot n \cdot {d p}^{2} \cdot d b}{4}

How to Evaluate Theoretical Power of Piston Pump?

Theoretical Power of Piston Pump evaluator uses Theoretical Power for Piston Pump = 2*pi*Angular Speed of Driving Member in Piston Pump*Theoretical Torque to evaluate the Theoretical Power for Piston Pump, Theoretical Power of Piston Pump formula is defined as the maximum power that a piston pump can deliver to a hydraulic system, taking into account the pump's design and operating parameters, and is a critical factor in determining the overall performance and efficiency of the pump in various hydraulic applications. Theoretical Power for Piston Pump is denoted by P_the symbol.

How to evaluate Theoretical Power of Piston Pump using this online evaluator? To use this online evaluator for Theoretical Power of Piston Pump, enter Angular Speed of Driving Member in Piston Pump (N_d1) & Theoretical Torque (T_th) and hit the calculate button.

FAQs on Theoretical Power of Piston Pump

What is the formula to find Theoretical Power of Piston Pump?

The formula of Theoretical Power of Piston Pump is expressed as Theoretical Power for Piston Pump = 2*pi*Angular Speed of Driving Member in Piston Pump*Theoretical Torque. Here is an example- 1617.826 = 2*pi*2.14570778229256*120.

How to calculate Theoretical Power of Piston Pump?

With Angular Speed of Driving Member in Piston Pump (N_d1) & Theoretical Torque (T_th) we can find Theoretical Power of Piston Pump using the formula - Theoretical Power for Piston Pump = 2*pi*Angular Speed of Driving Member in Piston Pump*Theoretical Torque. This formula also uses Archimedes' constant .

Can the Theoretical Power of Piston Pump be negative?

No, the Theoretical Power of Piston Pump, measured in Power cannot be negative.

Which unit is used to measure Theoretical Power of Piston Pump?

Theoretical Power of Piston Pump is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Theoretical Power of Piston Pump can be measured.

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