Watch the video clip on titled “Tangle Swing”.(I have already taken the appropri

Question

Watch the video clip on titled “Tangle Swing”.(I have already taken the appropriate measurements and have included my times in the problem as you read.) Take a time measurement to determine the approximate length of Rapunzel’s Hair. You may wish to watch the other video posted from “Science Friday” radio program. I already took a time measurement from this video clip of 18.3 sec at the begin of the fall and 21.9 sec at the bottom=3.6 seconds total. Our professor wants us to use the equation T=2pie square root of l over g. I just need to understand how to do the problem and to have someone walk me through step-by-step. Thank you. The goal is to obtain the length of Rapunzel's hair.

Explanation / Answer

The time you measured is, T/4 = 3.6 s, (if the time 3.6 s you measured was the time taken to reach the bottom for the first time after start of fall)

So, T = (3.6 s)4 = 14.4 s

You have to use the equation,

T = 2[l/g]

or,  14.4 s = (6.28)[l/(9.8 m/s2)]

or, [l/(9.8 m/s2)] = 14.4/6.28 = 2.293

or, [l/(9.8 m/s2)] = (2.293)2 = 5.26

or, l/(9.8 m/s2) = 5.26

or, l = 5.26X(9.8) = 51.526

or, l = 51.5 m, approx. is the length of the Hair.....

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