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You\'re helping with an experiment in which a vertical cylinder willrotate about

ID: 1667638 • Letter: Y

Question

You're helping with an experiment in which a vertical cylinder willrotate about its axis by a very small angle. You need to devise away to measure this angle. You decide to use what is called anoptical lever. You begin by mounting a small mirror on topof the cylinder. A laser 4.8 m away shootsa laser beam at the mirror. Before the experiment starts, themirror is adjusted to reflect the laser beam directly back to thelaser. Later, you measure that the reflected laser beam, when itreturns to the laser, has been deflected sideways by 1.7 mm. How many degrees has the cylinder rotated?

Explanation / Answer

Tan(2theata)=(.0017/4.8) 2theata=.0202 theata= .0101 degrees

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