Question

A piano tuner strikes a tuning fork for note A above middle C and sets in motion vibrations that can be modeled by the equation y = 0.001 sin 880 Pi(T). Find the amplitude and period for the function.

Answer 1

period of \(\sin(bx)\) is \(\frac{2\pi}{b}\) so your period is
\[\frac{2\pi}{800\pi}=\frac{1}{400}\]

Answer 2

amplitude is the number outside of the sine, i.e. \(0.001\)

Answer 3

thank you

Answer 4

yw