A point on the end of a tuning fork moves in simple harmonic motion described by $d = a \sin \omega t$
Find $\omega $ given that the tuning fork for middle C has a frequency 270 of vibrations per second.

A) $\omega = 270 \pi$
B) $\omega = 810 \pi$
C) $\omega = 540 \pi$
D) $\omega = 1080 \pi$
E) $\omega = 271 \pi$

Question

A point on the end of a tuning fork moves in simple harmonic motion described by   $d = a \sin \omega t$  
Find $\omega $   given that the tuning fork for middle C has a frequency 270 of vibrations per second.
 
A) $\omega = 270 \pi$  
B) $\omega = 810 \pi$  
C) $\omega = 540 \pi$  
D) $\omega = 1080 \pi$  
E) $\omega = 271 \pi$

Quizplus · Accepted Answer

The angular frequency $\omega$ is related to the frequency $f$ by $\omega = 2\pi f$. Given $f = 270$, $\omega = 2\pi \times 270 = 540\pi$.

A Point on the End of a Tuning Fork Moves d=asin⁡ωtd = a \sin \omega td=asinωt

A Point on the End of a Tuning Fork Moves $d = a \sin \omega t$