Work Done by Roots Blower Calculator

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✖Volume is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume [V_T]			+10% -10%
✖Final Pressure of System is the total final pressure exerted by the molecules inside the system.ⓘ Final Pressure of System [P_f]			+10% -10%
✖Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.ⓘ Initial Pressure of System [P_i]			+10% -10%

✖Work Done per Cycle is the total amount of heat absorbed per cycle by the working substance from the source.ⓘ Work Done by Roots Blower [w]

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Work Done by Roots Blower Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work Done per Cycle = 4*Volume*(Final Pressure of System-Initial Pressure of System)
w = 4*V_T*(P_f-P_i)
This formula uses 4 Variables

Variables Used

Work Done per Cycle - (Measured in Joule) - Work Done per Cycle is the total amount of heat absorbed per cycle by the working substance from the source.
Volume - (Measured in Cubic Meter) - Volume is the amount of space that a substance or object occupies or that is enclosed within a container.
Final Pressure of System - (Measured in Pascal) - Final Pressure of System is the total final pressure exerted by the molecules inside the system.
Initial Pressure of System - (Measured in Pascal) - Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.

STEP 1: Convert Input(s) to Base Unit

Volume: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
Final Pressure of System: 18.43 Pascal --> 18.43 Pascal No Conversion Required
Initial Pressure of System: 5 Pascal --> 5 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = 4*V_T*(P_f-P_i) --> 4*63*(18.43-5)

Evaluating ... ...

w = 3384.36

STEP 3: Convert Result to Output's Unit

3384.36 Joule -->3.38436 Kilojoule (Check conversion here)

FINAL ANSWER

3.38436 Kilojoule <-- Work Done per Cycle

(Calculation completed in 00.004 seconds)

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Credits

Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!

Verified by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Work Done by Roots Blower Formula

LaTeX Go

Work Done per Cycle = 4*Volume*(Final Pressure of System-Initial Pressure of System)
w = 4*V_T*(P_f-P_i)

What is work done?

Work done is a process, where energy given as input to the system is utilized to perform some useful work.

How to Calculate Work Done by Roots Blower?

Work Done by Roots Blower calculator uses Work Done per Cycle = 4*Volume*(Final Pressure of System-Initial Pressure of System) to calculate 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 calculate Work Done by Roots Blower using this online calculator? To use this online calculator 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. Here is how the Work Done by Roots Blower calculation can be explained with given input values -> -0.011736 = 4*63*(18.43-5).

FAQ

What is Work Done by Roots Blower?

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 and is represented as w = 4*V_T*(P_f-P_i) or Work Done per Cycle = 4*Volume*(Final Pressure of System-Initial Pressure of System). Volume is the amount of space that a substance or object occupies or that is enclosed within a container, Final Pressure of System is the total final pressure exerted by the molecules inside the system & Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.

How to calculate Work Done by Roots Blower?

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 is calculated using Work Done per Cycle = 4*Volume*(Final Pressure of System-Initial Pressure of System). To calculate Work Done by Roots Blower, you need Volume (V_T), Final Pressure of System (P_f) & Initial Pressure of System (P_i). With our tool, you need to enter the respective value for Volume, Final Pressure of System & Initial Pressure of System and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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