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)
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.