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Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump Formula

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Theoretical Discharge of Pump is the volume of liquid pumped out in unit time. Check FAQs

Q th = V p \cdot N d1

Q_th - Theoretical Discharge of Pump?V_p - Theoretical Volumetric Displacement in Piston Pump?N_d1 - Angular Speed of Driving Member in Piston Pump?

Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump Example

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Here is how the Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump equation looks like with Values.

Here is how the Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump equation looks like with Units.

Here is how the Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump equation looks like.

0.0837 = 0.039 \cdot 20.49

0.0837m³/s = 0.039m³/1 \cdot 20.49rev/min

0.0837 = 0.039 \cdot 20.49

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Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump Solution

Follow our step by step solution on how to calculate Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump?

FIRST Step Consider the formula

Q th = V p \cdot N d1

Next Step Substitute values of Variables

∴

Q th = 0.039m³/1 \cdot 20.49rev/min

Next Step Convert Units

∴

Q th = 0.039m³/1 \cdot 2.1457rad/s

Next Step Prepare to Evaluate

∴

Q th = 0.039 \cdot 2.1457

Next Step Evaluate

∴

Q th = 0.0836826035094098m³/s

LAST Step Rounding Answer

∴

Q th = 0.0837m³/s

Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump Formula Elements

Variables

Theoretical Discharge of Pump

Theoretical Discharge of Pump is the volume of liquid pumped out in unit time.

Symbol: Q_th

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Theoretical Discharge of Pump

Theoretical Volumetric Displacement in Piston Pump

Theoretical volumetric displacement in Piston Pump is the amount of liquid displaced per revolution.

Symbol: V_p

Measurement: Volumetric DisplacementUnit: m³/1

Note: Value can be positive or negative.

Formulas to find Theoretical Volumetric Displacement in 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

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 Discharge given Angular Speed of Driving Member of Hydraulic Pump?

Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump evaluator uses Theoretical Discharge of Pump = Theoretical Volumetric Displacement in Piston Pump*Angular Speed of Driving Member in Piston Pump to evaluate the Theoretical Discharge of Pump, Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump formula is defined as the maximum possible flow rate of a hydraulic pump, which is dependent on the angular speed of the driving member and the pump's volumetric capacity, providing a theoretical estimate of the pump's performance under ideal conditions. Theoretical Discharge of Pump is denoted by Q_th symbol.

How to evaluate Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump using this online evaluator? To use this online evaluator for Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump, enter Theoretical Volumetric Displacement in Piston Pump (V_p) & Angular Speed of Driving Member in Piston Pump (N_d1) and hit the calculate button.

FAQs on Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump

What is the formula to find Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump?

The formula of Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump is expressed as Theoretical Discharge of Pump = Theoretical Volumetric Displacement in Piston Pump*Angular Speed of Driving Member in Piston Pump. Here is an example- 0.085828 = 0.039*2.14570778229256.

How to calculate Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump?

With Theoretical Volumetric Displacement in Piston Pump (V_p) & Angular Speed of Driving Member in Piston Pump (N_d1) we can find Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump using the formula - Theoretical Discharge of Pump = Theoretical Volumetric Displacement in Piston Pump*Angular Speed of Driving Member in Piston Pump.

Can the Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump be negative?

No, the Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump?

Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump can be measured.

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