MODEL A SOUND WAVE The following oscilloscope screen displays the signal generated by the sound of a tuning fork during a time span of $$ 8 $$ milliseconds. a. Write an equation of the form $$ V = a $$ sin bt that models the signal, where $$ V $$ is in volts and $$ t $$ is in milliseconds. b. The frequency of a sound wave is defined as the reciprocal of the period of the sound wave. What is the frequency of the sound wave that produced the signal shown above? State your answer in cycles per millisecond.

Question

MODEL A SOUND WAVE The following oscilloscope screen displays the signal generated by the sound of a tuning fork during a time span of $$ 8 $$ milliseconds. a. Write an equation of the form $$ V = a $$ sin bt that models the signal, where $$ V $$ is in volts and $$ t $$ is in milliseconds. b. The frequency of a sound wave is defined as the reciprocal of the period of the sound wave. What is the frequency of the sound wave that produced the signal shown above? State your answer in cycles per millisecond.

Robbins Greene · Accepted Answer

$$\left. \begin{array} { l l } { 	ext { a. } V = 4 \sin \pi t , 0 \leq t \leq 8 	ext { milliseconds } } & { 	ext { b. } \frac { 1 } { 2 } 	ext { cycle per millisecond } } \end{array} ight.$$

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