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Old 09-21-07, 09:16 PM   #1 (permalink)
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A physics puzzle...

There is a circular running track 168 feet in diameter. Peggy Liska runs 10 laps around the track in 6 minutes. What is her average velocity in meters per second?

Hint: Circumference is equal to diameter times pi. One meter is about 3.28 feet. One minute is 60 seconds.
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Old 09-21-07, 09:29 PM   #2 (permalink)
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the obvious answer is 4.47M/s +- .1 error factor but that is linear velocity. as this is a circular track should the answer be an angular velocity?? my head hurts... its been nearly 30 years since highschool !!
conventions used
1 foot is 12 inches
1 inch is 25.4 milimeters
1000 milimeters to 1 meter
1 meter is 39.37 inches
pi is 3.14159 (this is more than enough accuracy for this )
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Old 09-21-07, 10:25 PM   #3 (permalink)
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Zero.

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Old 09-21-07, 10:29 PM   #4 (permalink)
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She was running at a speed of 4.4686 meters per second. But if you are trying to be tricky the distance between the start point to the end point is zero.
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Old 09-21-07, 11:40 PM   #5 (permalink)
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Quote:
Zero.
You got the right number, but no units so that's still the wrong answer...
Quote:
She was running at a speed of 4.4686 meters per second. But if you are trying to be tricky the distance between the start point to the end point is zero.
Exactly! Most people are tricked by this physics puzzle.

Now, what would be the answer if she ran 9 and a half laps instead of 10? 9 and 3/4?
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Originally Posted by A friend of mine who has a Linux kernel named after his girlfriend.
If I was VirtualBox, I could load my virtualization module into Hannah and boot up another kernel in the same address space.
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Old 09-22-07, 12:43 AM   #6 (permalink)
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If I am getting where you are going with this then her average velocity relative to her starting point for 9.5 laps would be 0.14224 meters per second which should be her maximum velocity as this is the farthest point from the start.

The 9.75 laps would be 0.005788 meters per second.
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Old 09-22-07, 01:17 AM   #7 (permalink)
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aw dang, an easy one and somebody got it right already. Since she ended up where she started, average velocity (with the track itself considered a fixed frame of reference), would be zero of course. Now, if you figured in the movement of the planet, the solar system, and the galaxy within the universe itself, things would change! But, let's not get into that.
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