## 06ps-02 Rollercoaster Design Solution

• 0:00 - 0:03
Well, let's see. Here another car just has potential energy.
• 0:03 - 0:06
Over here, it will also have potential energy because at the top of the loop,
• 0:06 - 0:08
the car is still some distance off the ground.
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And so, what I'm doing here implicitly is using the ground as my zero point of potential energy.
• 0:13 - 0:16
Now, if this is a circular loop, this height is going to be 2R,
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but it will also have some kinetic energy here.
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So from an energy point of view, the potential energy up here is getting converted
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to both potential energy and kinetic energy.
• 0:27 - 0:31
Let's set up that equation. Well, here is my equation expressing the conservation energy.
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Potential energy goes to potential plus kinetic.
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The mass is cancelled and remember I'm solving for the minimum height.
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I'm going to set this velocity equal to the minimum possible velocity
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that the car could have as it goes to this loop.
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When I worked this out, I get a minimum height of 25 m.
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If I make the first hill any lower than that, the car will not have enough energy
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to make it safely run this loop and you might have some people falling out of the car,
• 0:56 -
which isn't the best idea when designing a roller coaster.
タイトル：
06ps-02 Rollercoaster Design Solution
Team:
Udacity
プロジェクト：
PH100 - Intro to Physics
Duration:
01:00