Building a Robotic Vacuum Cleaner

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To build a robotic vacuum cleaner that achieves a suction pressure of 20kPa and cleans a 1000 sqft area on a single battery charge, one must first calculate the motor specifications based on both pressure and airflow requirements. Understanding the relationship between pressure, flow rate, and motor power is crucial, as the power in watts is derived from the pressure in pascals multiplied by the airflow volume. Additionally, the width and speed of the robot must be specified to determine the time needed to cover the area. The vacuum pump's pressure versus volume curve is essential for identifying the optimal operating point. Finally, the total energy requirement can be calculated to determine the necessary battery capacity for the project.
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I need to build a robotic vacuum cleaner that requires minimally 20kPa suction pressure, and is able to clean a 1000sqft area within a single charge of the battery. How do I first calculate the motor specs required to produce that suction pressure and the battery that is able to last the entire 1000 sqft cleaning. Any help would be appreciated

Mentor note: Moved to homework forum from EE forum.
 
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This is going to be extremely difficult to do with (evidently) no background in engineering. You're not even describing or approaching the first problem correctly.

A vacuum cleaner uses a vacuum pump, which is like a high pressure fan/blower. So you need both a pressure and a flow rate as the sizing criteria. Where did you get the pressure?

Second, there are a lot of vacuum cleaners out there. You should be studying how they work.

What is this project for? Is it a school project? If so, at what level?
 
Welcome to PF.

The solution requires that you specify the width and speed of the robot. That tells you how long it will take to cover 1000 m2.

The next issue is the flow rate of air while it is working. What suction pump will you use? You will need to know the pressure against volume curve for the vacuum pump, to find the operating point or range.
Power in watts is pressure in Pa, multiplied by the volume per second in m3.
The power gives you the minimum motor size required.

You then know the time and the power, so you can compute the minimum energy required in joules, which is the time in seconds multiplied by the power in watts. The energy gives you the minimum battery capacity required.

You will need to design the pick-up mouth parts, so it follows the surface of the floor, without too much variation in the gap or the airflow.
 
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