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Work Done by Roots Blower Formula

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Work Done per Cycle is the total amount of heat absorbed per cycle by the working substance from the source. Check FAQs

w = 4 \cdot V T \cdot (P f - P i)

w - Work Done per Cycle?V_T - Volume?P_f - Final Pressure of System?P_i - Initial Pressure of System?

Work Done by Roots Blower Example

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Here is how the Work Done by Roots Blower equation looks like with Values.

Here is how the Work Done by Roots Blower equation looks like with Units.

Here is how the Work Done by Roots Blower equation looks like.

3.3844 = 4 \cdot 63 \cdot (18.43 - 5)

3.3844KJ = 4 \cdot 63m³ \cdot (18.43Pa - 5Pa)

3.3844 = 4 \cdot 63 \cdot (18.43 - 5)

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Work Done by Roots Blower Solution

Follow our step by step solution on how to calculate Work Done by Roots Blower?

FIRST Step Consider the formula

w = 4 \cdot V T \cdot (P f - P i)

Next Step Substitute values of Variables

∴

w = 4 \cdot 63m³ \cdot (18.43Pa - 5Pa)

Next Step Prepare to Evaluate

∴

w = 4 \cdot 63 \cdot (18.43 - 5)

Next Step Evaluate

∴

w = 3384.36J

Next Step Convert to Output's Unit

∴

w = 3.38436KJ

LAST Step Rounding Answer

∴

w = 3.3844KJ

Work Done by Roots Blower Formula Elements

Variables

Work Done per Cycle

Work Done per Cycle is the total amount of heat absorbed per cycle by the working substance from the source.

Symbol: w

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Work Done per Cycle

Volume

Volume is the amount of space that a substance or object occupies or that is enclosed within a container.

Symbol: V_T

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume

Final Pressure of System

Final Pressure of System is the total final pressure exerted by the molecules inside the system.

Symbol: P_f

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Final Pressure of System

Initial Pressure of System

Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.

Symbol: P_i

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Initial Pressure of System

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How to Evaluate Work Done by Roots Blower?

Work Done by Roots Blower evaluator uses Work Done per Cycle = 4*Volume*(Final Pressure of System-Initial Pressure of System) to evaluate the Work Done per Cycle, The Work done by roots blower formula is defined as the four times of the volume multiplied to difference of final pressure and initial pressure. Work Done per Cycle is denoted by w symbol.

How to evaluate Work Done by Roots Blower using this online evaluator? To use this online evaluator for Work Done by Roots Blower, enter Volume (V_T), Final Pressure of System (P_f) & Initial Pressure of System (P_i) and hit the calculate button.

FAQs on Work Done by Roots Blower

What is the formula to find Work Done by Roots Blower?

The formula of Work Done by Roots Blower is expressed as Work Done per Cycle = 4*Volume*(Final Pressure of System-Initial Pressure of System). Here is an example- -0.011736 = 4*63*(18.43-5).

How to calculate Work Done by Roots Blower?

With Volume (V_T), Final Pressure of System (P_f) & Initial Pressure of System (P_i) we can find Work Done by Roots Blower using the formula - Work Done per Cycle = 4*Volume*(Final Pressure of System-Initial Pressure of System).

Can the Work Done by Roots Blower be negative?

Yes, the Work Done by Roots Blower, measured in Energy can be negative.

Which unit is used to measure Work Done by Roots Blower?

Work Done by Roots Blower is usually measured using the Kilojoule[KJ] for Energy. Joule[KJ], Gigajoule[KJ], Megajoule[KJ] are the few other units in which Work Done by Roots Blower can be measured.

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