Question

A pitch of Middle D (first harmonic = 294 Hz) is sounded out by a vibrating guitar string. The length of the string is 70.0 cm. Calculate the speed of the standing wave in the guitar string. Show work (GUESS)

Answer 1

To calculate the speed of the standing wave in the guitar string, we can use the formula:

v = f * λ

Where:
v = speed of the wave
f = frequency of the wave (in Hz)
λ = wavelength of the wave

Given:
f = 294 Hz
λ = 2L = 2 * 70.0 cm = 140.0 cm = 1.40 m

Now we can plug in the values:

v = 294 Hz * 1.40 m
v = 411.6 m/s

Therefore, the speed of the standing wave in the guitar string is approximately 411.6 m/s.