Krampf Experiment of the Week - Swing Time

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For this week's experiment, I thought we would look into something that none of us seem to have enough of. Time. This experiment will not give you any extra time, but it will let you use up some time in learning how to measure it, without a watch.

Imagine that you are out in the woods, or on a deserted island, or in a hotel room in Buffalo. You want to time how many seconds it takes for something to happen, but you do not have a clock. Could you make an accurate device which would let you count the seconds?

For this experiment, you will need:

* a key
* a piece of string about 40 inches long

Tie the key to one end of the string. Now measure 39 inches from the end of the key and tie a knot in the string at that point. If you do not have a yardstick on your desert island (or in your hotel room), you can do what I did and use a sheet of 8 1/2 x 11 paper. That is the standard size for typing paper. Twice its length and twice its width give the right length for your pendulum. (8.5 + 8.5 + 11 + 11 = 39)

Now, hold the string at the knot and let the key swing freely. Hold your hand very still, or tie the string to something. I used the floor lamp in the hotel room. Pull the key to one side and release it. It will swing back and forth. Each swing, from one side to the other will take one second. I timed my pendulum with the stopwatch on my laptop computer and found it to be very accurate. After three minutes, when the pendulum was barely moving, it was still accurate to the second with the stopwatch.

The length of the pendulum controls how long it takes for the key to swing back and forth. It does not matter how heavy the weight is or how far back you pull it. A brick and a key will each take one second per swing on a 39 inch long pendulum. What if you wanted to make a pendulum that would swing from side to side in half a second? How long a string would you need? Should it be longer or shorter? How much longer or shorter? Try it and see. I will tell you that the length will probably not be what you expect it to be.

After trying this experiment, you should now know why grandfather clocks are so tall. The pendulum on a grandfather clock is 39 inches long, swinging back and forth to keep track of the seconds.



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