184_projects:f21_project_3

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184_projects:f21_project_3 [2021/08/19 14:50] dmcpadden184_projects:f21_project_3 [2021/09/17 14:25] (current) dmcpadden
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 ===== Project 3 ===== ===== Project 3 =====
 +==== Project 3A: Building Stormchaser HQ ====
 +You are part of a secret organization that sends task forces to investigate strange phenomenon. The name of your particular task force is S.P.A.R.T.A.N force. Your team has been sent to investigate an abnormal storm system that has encapsulated the town of Lakeview. You and your team are racing to be on the frontline to investigate this new system and as you speed toward Lakeview you receive a call from a group of scientists working at Stormchaser HQ. They explain that they have built their new base of operations (HQ) 2 km away from the mountains, which typically gather large clouds (on average, $m=1*10^9 kg$  and $q=-150 C$) to the west of the HQ. The Lakeview scientists have calibrated the equipment on top of HQ to deal with the electric potential from the large clouds, but they are concerned about an incoming storm system that is displaying abnormal qualities. As much as they would love to collect data on this storm, if the electric potential changes by more 20 MV due to the additional clouds, the equipment will be damaged. They have received reports that the storm system is heading toward HQ from the eastern plains (where the wind can last up to 20 minutes and exert a force of 36000 N) with a mass around $m=3*10^5 kg$  and a charge between $-50 C$ and $-60 C$. (For out-of-town-ers, they like to clarify that the eastern plains are roughly 500 km away.) They know that you need immediate data on the storm and would like a recommendation from your team on whether they can keep their equipment on top of HQ or if they should take it down for this storm.
 +<WRAP INFO>
 +
 +===Learning Goals:===
 +  * Understand how electric force, electric energy, electric potential, and electric field relate to one another (and be able to calculate these quantities for a system of point charges)
 +  * Apply energy principles to a situation with charges (energy conservation, transfer of energy, system definitions, etc.)
 +  * Apply momentum/force principles to a situation with charges (momentum-force relationship, force-acceleration relationship, force diagrams, etc.)
 +  * Think about what might change when there are multiple sources of charge in the problem
 +</WRAP> 
 +
  
-==== Project 3A: Charge the Line ====+==== Project 3B: Charge the Line ====
  
 You have become trapped in the town of Lakeview. The town and surrounding landscape are under a constant barrage of storms. Not only are people being struck by lightning within the town but any vehicle or person trying to leave the city limits of Lakeview are instantly struck by lightning. The number of deaths due to lightning strikes in Lakeview in one week is larger than the amount the whole world has seen in the last 5 years. Jo Harding, a  crazy local scientist who has had a few run-ins with storms before has an idea of putting up giant metal T's, with the base of the T inserted into the ground to try and stop the townspeople from being struck with lightning. Jo wants the base of the T to be made of wood and the horizontal top of the T to be a metal. Mayor Rachel Wando is up for reelection and is willing to listen to any ideas to stop the rising death toll but ever since the lightning storms started she has been in non-stop meetings in which electric fields are being constantly talked about and is becoming very concerned about what the electric fields would be like for these T-shaped objects. Rachel reaches out to her friends at the storm chaser HQ for a model of what the electric field will be for one of these T's after it has been struck by lightning. The code below is the beginnings of your teams work on modeling the electric field from the giant T. You have become trapped in the town of Lakeview. The town and surrounding landscape are under a constant barrage of storms. Not only are people being struck by lightning within the town but any vehicle or person trying to leave the city limits of Lakeview are instantly struck by lightning. The number of deaths due to lightning strikes in Lakeview in one week is larger than the amount the whole world has seen in the last 5 years. Jo Harding, a  crazy local scientist who has had a few run-ins with storms before has an idea of putting up giant metal T's, with the base of the T inserted into the ground to try and stop the townspeople from being struck with lightning. Jo wants the base of the T to be made of wood and the horizontal top of the T to be a metal. Mayor Rachel Wando is up for reelection and is willing to listen to any ideas to stop the rising death toll but ever since the lightning storms started she has been in non-stop meetings in which electric fields are being constantly talked about and is becoming very concerned about what the electric fields would be like for these T-shaped objects. Rachel reaches out to her friends at the storm chaser HQ for a model of what the electric field will be for one of these T's after it has been struck by lightning. The code below is the beginnings of your teams work on modeling the electric field from the giant T.
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 </WRAP>  </WRAP> 
  
-==== Project 3B: StickyStuff and the Dust Particle ==== 
-{{  183_projects:taperoller.png?500}} 
- 
-Adhesive tape is manufactured by repeatedly rolling and unrolling large sheets of plastic, which can cause there to be a charge on the surface of the tape. Why this important you may ask? Trapped in the town of Lakeview, S.P.A.R.T.A.N force has been called to the premises of StickyStuff Corporation. StickyStuff Corp has been tasked with producing a special type of adhesive tape to be used on a new top-secret spacecraft called Artemis 13. Unfortunately, there has recently been a dust problem in the manufacturing plant. Dust particles (on average, $charge=0.802*10^{-14} C$, $m=5.5*10^{-8} g$) have been accumulating on the tape as it rolls through the assembly line. The problem has been isolated to a single roller, which operates for 10 seconds at a time at a power of 100 watts (where 1 watt = 1 J/s). Using your handy-dandy-super-extender tape measure, you find that exactly 30 m of tape passes over the roller during each 10 second time period. Your team needs to determine where to put a fan and how much force the fan needs to exert on each dust particle, such that the fan blows away any dust that may be attracted to the tape. The tape must be in excellent condition before being used on the spacecraft. From your adhesive engineering education, you have access to a [[https://www.alphalabinc.com/triboelectric-series/|table]] that you think may help. 
- 
-(There's actually a pretty cool "How it's Made" video [[https://youtu.be/pwIiDn4ShE0|here]] if you have time at the end.) 
- 
-<WRAP INFO> 
-=== Learning Goals === 
-  * Create an analytic model for a line of charge 
-  * Be able to explain how you set up each part of the integral, $dQ$, $r$, limits, etc. 
-  * Explain how you used superposition in your solution 
-  * Understand how surfaces become charged (particularly as an insulator in this case) 
-</WRAP> 
  
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