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Lego Mindstorms | Experiment #2 – f=ma

For the past two classes, we have been programming our robot to lift some weights on a pulley. Putting the pulley together was a simple task, but collecting the data for the experiment brought us a few problems in the beginning.

This experiment required us to play around with the amount of weight we wanted our robot to pull, the maximum amount of weight we had was 250g, and we had to then convert that into kilograms each time we ran the pulley.Luckily, the program has an automatic data save feature, where it creates a spreadsheet of all of the specifics we needed; mass, acceleration, and the battery discharge.

However, this experiment was not just to see how long it took for the robot to lift a weight of varying mass; it was an example of our lesson on Newton’s Laws of Motion.

His first law, the Law of Inertia, states that “an object will remain at rest or in uniform motion in a straight line unless acted upon by an external unbalanced force. His second law, the Law of Motion, states that force = mass x acceleration, or more simply, f=ma. The second law states that the acceleration of an object relies upon two things – the force acting upon the object and the mass of the object.

For the purpose of this experiment we relied heavily on the second law, since we were trying to use our robot to calculate not only that equations, but to also see relationships between the different variables as we changed the weight that the robot will pull and also the battery’s function when that is changed.

We ran the experiment several times, and even had to repeat the entire experiment once since the program seemed to have a glitch and our results came out backwards.

 
We then used this data to create the following charts:

Chart #1 – Mass vs. Acceleraton

 

In this chart, it is evident that the more mass there is, the acceleration lowers since it takes longer for the robot to pull the weights.

Chart #2 – Power vs. Acceleration

 

Here, the more power there is, the acceleration will also rise to compensate for that.

Chart #3 – Mass vs. Battery Discharge


 
In this chart, when the mass is higher, the battery discharges more energy.

Chart #4 – Power Level vs. Power Used


 
And finally, this chart shows how the power usage rises when there is a higher power level.

In each graph, a linear regression/trend line was used.

Overall, this was an interesting experiment. I would like to see the robot try to pick up some heavier weights and calculate the data for that as well, since most of the numbers here are so similar.

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Demand Response

When one thinks of the cost of electricity usage, many think that the rate is calculated based on the average day-to-day use of electricity, and never realize that the rate actually changes due to peak times of the day where power is worth more.  This is where demand response comes in.

The U.S. Department of Energy established demand response in order to motivate customers to change their habits when it comes to electricity. An appliance is never truly off if it’s still plugged in, so millions of people across the globe are wasting money by leaving items such as cell phone chargers and toasters plugged into outlets all day when they’re not even home using them.

Supply and demand on the electricity grid need to be in balance at all times to avoid an outage. System operators pay very close attention to the electric usage at all hours of the day so that the supply can always be met with the demand. If the supply runs short, demand response moves in (D.O.E.).

There are two types of demand response, economic and emergency. Economic demand response is when demand increases and the cost to acquire supply increases. “Economic demand response lowers that average cost by providing incentives for customers to use electricity off-peak.  For example, many utilities offer time-of-use electric rates, which are higher during the day and lower at night” (Energy DSM). Emergency demand response occurs when electricity peaks in the middle of the day due to unusually hot or cold weather, and the supply sometimes isn’t always available. When this happens, electric utilities call on their emergency resources to avoid outages (EnergyDSM).

Many companies such as EnerNOC, Comverge, and CPower are leaders in demand response, offering numerous programs to energy end-users (Tweed). CPower’s program helps companies lower their energy usage while making significant revenue and environmental benefits. Their chart, showing peak times, is quite helpful in understanding demand response and their role in energy consumption and management.

Overall, I think demand response is a positive thing if regulated. It’s nice to see companies like EnerNOC, which is Boston-based, managing energy use in a city where electricity bills are through the roof. EnerNoc is current load management is about 5 gigawatts after buying two other companies, and is a role model for staying ahead in such a competitive field.

Works Cited

“Benefits of Demand Response and Recommendations.” energy.gov. U.S. Department of Energy, n.d. Web. 13 Feb. 2011. <www.oe.energy.gov/DocumentsandMedia/congress_1252d.pdf>.

Tweed, Katherine. “The Top Five Players in Demand Response : Greentech Media.” Green Technology | Cleantech | Green Energy – News, Research, & Resources. N.p., n.d. Web. 13 Feb. 2011. <http://www.greentechmedia.com/articles/read/top-5-demand-response/>.

“What is Demand Response?.” EnergyDSM.com. N.p., n.d. Web. 13 Feb. 2011. <http://www.energydsm.com/demand-response/>.

“demand response | demand energy | smart grid | cpowered.com.” energy management | energy demand response | cpowered.com. CPower, n.d. Web. 13 Feb. 2011. <http://www.cpowered.com/demand-response.php>.

 

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Lego Mindstorms

Working with the Lego Mindstorms has been a really great opportunity to have these past two classes. My group had a few troubles getting some of the pieces together in the beginning, (we seemed to have a few things backwards…must’ve been a case of the Mondays.) Once we had everything put together and plugged in, I wasn’t too sure what we would be doing with them, I had never been one for programming, but the software used for the Mindstorms seems to cater to both amateur and advanced users. I will definitely need more time with the program to really get the feel for it, (and maybe a manual too…) but sticking with basic power functions eased my worries.

On the first day with the Mindstorms, we only had time for some basic functions, such as going forwards and backwards, left and right, and speed control. On our second meeting, we learned how to create an entire string of commands and also how to loop it so it can happen more than once. It wasn’t long before our robot began doing our own routine that included a short little musical number throughout the motions.

Later, we calculated the diameter of the tires before measuring the distance traveled by the robot. The wheel circumference was .1700m, and the distance we measured was about 15cm or 16cm. The problem with measuring the robot in this fashion is that you will never have the ruler perfectly at the back or front of the tire. The robot also does not travel in a perfectly straight line, so as it leans, the person doing the measurement leans, so there’s a large margin for error in this situation. We did not repeat this experiment with other power modes, nor did we calculate the number of wheel turns since we then moved onto the next experiment.

Next, we programmed the vehicle to participate in a small challenge to make the robot travel clockwise in a one-meter circle, travel counter-clockwise, do both and make a sound, and then we programmed both tires to opposite directions as our unique trajectory. It was a bit challenging trying to choose speeds for each tire in order to make the robot travel in the one-meter circle. We started a 40 seconds, but then dwindled down to using about 20 seconds for the circle, it was difficult to measure due to the cramped space in the classroom, so if we were to do this again I’d want to pick an open area (where I can also mark off a meter circle on the floor in tape) and make the robot travel the circle. For the tire speeds, the power modes for the first one we chose were 85 for one side and 70 for the other. We then tried power modes of 55 and 40, and then power modes of 65 and 65 for the opposite moving trajectory.

Overall, I did enjoy working with the Mindstorms and hope to do more with them in the future. It is unbelievable the amount of power that these small machines possess! And I know that it’s going to take a lot longer than a few classes to get the hang of the program and learn more of its features, but this class provides a nice sampling to robotics that I probably won’t receive in any other class that I take at Suffolk. (And I think I finally understand why my father, an electrical engineer, gets so excited when he used to talk about working with the Mindstorms when he was in college!) It’s certainly a nice break from textbook readings!

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Mr. Vale’s Presentation

I found Mr. Vale’s presentation to be valuable to the concepts that we have been talking of as of recently, but at the same time quite interesting since a few of the trinkets he brought in, such as the Stirling engine and Peltier device, have been in use since the 19th century. The Stirling engine, 1816, is used as a substitute for steam engines, and is 40% efficient. The Peltier device, 1834, uses 2 dissimilar metals to generate thermoelectricity. Today, some companies manufacture USB drink coolers and heating blankets/pads using this kind of device.

Another useful fact was that of piezoelectricity, small quartz crystals which gives off a significant amount of voltage or electrical charge. This was also discovered in the late 1800s, and is used almost daily in the form of lighters and in push-start grills. Lastly, the other thing that caught my eye was the solar panels that hovered and spun over the magnets. Mr. Vale explained to us that you can make these as big as you want, but there hasn’t been a real use for them in today’s world. This is a bit disheartening, since I feel like many scientists and researchers have come up with great ideas, such as this, but they haven’t been integrated into our society just yet. It is evident that we need to change our living habits to help save the earth. It seems like we should be looking in the past to see what great inventions have already been made, and build upon those in order to shape the future.

Stirling Engine - CleanMPG.com

Stirling Engine - CleanMPG.com

 

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