pure sounds produce single sine waves on an oscilloscope. find the amplitude and period of the sine wave…

pure sounds produce single sine waves on an oscilloscope. find the amplitude and period of the sine wave graph. on the vertical scale, each square represents .5; on the horizontal scale, each square represents 30° or $\frac{pi}{6}$. the amplitude is 4. (simplify your answer. type an exact answer, using $pi$ as needed. use integers or fractions for any numbers in the expression.) the period is . (simplify your answer. type an exact answer, using $pi$ as needed. use integers or fractions for any numbers in the expression.)

pure sounds produce single sine waves on an oscilloscope. find the amplitude and period of the sine wave graph. on the vertical scale, each square represents .5; on the horizontal scale, each square represents 30° or $\frac{pi}{6}$. the amplitude is 4. (simplify your answer. type an exact answer, using $pi$ as needed. use integers or fractions for any numbers in the expression.) the period is . (simplify your answer. type an exact answer, using $pi$ as needed. use integers or fractions for any numbers in the expression.)

Answer

Explanation:

Step1: Determine amplitude

The amplitude is the maximum displacement from the equilibrium position. Counting the vertical squares from the equilibrium to the maximum, we see it is 8 squares. Since each square represents 0.5 on the vertical scale, amplitude $A = 8\times0.5=4$.

Step2: Determine period

The period is the horizontal length for one complete cycle. Counting the horizontal squares for one - complete cycle, we see it is 4 squares. Since each square represents $\frac{\pi}{6}$ on the horizontal scale, period $T = 4\times\frac{\pi}{6}=\frac{2\pi}{3}$.

Answer:

The amplitude is 4. The period is $\frac{2\pi}{3}$.