An object has a frequency of 5 vibrations per second. Write an equation in the form d=sin omega t for the object's simple harmonic motion.

engausidarb

engausidarb

Answered question

2022-09-05

An object has a frequency of 5 vibrations per second. Write an equation in the form d = sin ω t for the object's simple harmonic motion.

Answer & Explanation

Lorenzo Aguilar

Lorenzo Aguilar

Beginner2022-09-06Added 18 answers

ω determines how often the graph repeats its cycle. d = sin ( 1 ) t would repeat every 2 π seconds, but we want it torepeat 5 times every 1 second, so it should repeat every 0.2 seconds.
In other words, we want it to grow 2 π / 0.2 times faster than it would grow with ω = 1, so to make this happen, we just findt hat value. Therefore, we multiply 1 by 2 π / 0.2, so ω = 1 ( 2 π / 0.2 ) = 1 ( 10 π ) = 10 π.
ω = 10 π

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