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Gregorian Donating Member (1000+ posts) Send PM | Profile | Ignore Fri Nov-24-06 10:40 PM
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64. Without actually pulling out a calculator...
Edited on Fri Nov-24-06 11:24 PM by Gregorian
1 No matter what you do, circumference is just the ratio of 2(pi)radius. When you do the math, it's surprising how big a change in radius that small addition makes.



Argh! I screwed up the last two.

Number two shows that I didn't understand Achimede's principal. Since the steel is heavier than water, it'll sink. But in the boat, since it's heavier than water, it would be able to displace more than it's own volume, due to the geometry of the boat. That is because the boat floats due to the fact that it incorporates enough air to make the entire structure lighter than the water that it displaces. Sheesh. It's been way too long since I've had to actually think about something other than George!

There's no way the third problem is a fixed leash. That's much too complex for just doing in one's head.


2 You haven't changed the mass in the swimming pool, whether the scrap iron is in the boat or in the pool. That's not really a good answer. It has more to do with the fact that it displaces as much water in the boat as out of the boat because it's more dense than water.

3 This is a good one. A 100 foot rope give the cow a 50 foot radius of grazing. Since the silo is also a 50 foot radius, it effectively cuts the cow's grazing area in half. Wrong. I just realized I didn't see this correctly.

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