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| course_planning:183_projects:f19_project_10 [2019/11/04 19:28] – hallstein | course_planning:183_projects:f19_project_10 [2019/11/07 17:34] (current) – hallstein |
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| [[:183_notes:learning goals:week 10|Learning Goals Week 10]] | [[:183_notes:learning goals:week 10|Learning Goals Week 10]] |
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| ====== Project 10: Part B: Engineering a movie stunt ====== | ====== Project 10: Part B: Engineering a movie stunt ====== |
| Unfortunately, the island was chosen for its beauty and not any sort of safety considerations. The island itself is only 2.5 km across at its widest point, so the wire cannot unwind too much or the snowmobile will end up in the frozen arctic waters. | Unfortunately, the island was chosen for its beauty and not any sort of safety considerations. The island itself is only 2.5 km across at its widest point, so the wire cannot unwind too much or the snowmobile will end up in the frozen arctic waters. |
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| The reel is hoop-shaped, but it's mass has not been chosen. Your team is meant to decide how to proceed with the stunt, and report back to the production company. Choose an appropriate force that the snowmobile should exert on the wire/sled, and determine the mass of the reel. Some initial testing of reels of different masses and radii have shown (for a constant force) that the relationship between the angular speed of the reel and the linear speed of the sled is related to the ratio of the masses of the sled and reel. The equation that best fits this data is given below, | The reel is hoop-shaped, but its mass has not been chosen. Your team is meant to decide how to proceed with the stunt, and report back to the production company. Find the appropriate force that the snowmobile should exert on the wire/sled, and determine the mass of the reel. Some initial testing of reels of different masses and radii have shown (for a constant force) that the relationship between the angular speed of the reel and the linear speed of the sled is related to the ratio of the masses of the sled and reel. The equation that best fits this data is given below, |
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| $$\omega_{reel} = \dfrac{M_{sled}}{m_{reel}}\dfrac{v_{sled}}{R_{reel}}$$ | $$\omega_{reel} = \dfrac{M_{sled}}{m_{reel}}\dfrac{v_{sled}}{R_{reel}}$$ |
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| [[:183_notes:learning goals:week 10|Learning Goals Week 10]] | [[:183_notes:learning goals:week 10|Learning Goals Week 10]] |