What is the fundamental frequency for a 58 cm banjo string if the speed of waves on the string is 450 m/s?
wavelength = twice the length = 116 cm = 1.16 m
distance = speed * time
1.16 = 450 * T
T = 1/f
so'
f = 450/1.16 = 388 Hz
To find the fundamental frequency of a banjo string, you need to use the formula:
fundamental frequency = wave speed / 2 * string length
Given that the speed of waves on the string is 450 m/s and the banjo string length is 58 cm, we first need to convert the length to meters.
1 cm = 0.01 m
So, 58 cm = 58 * 0.01 = 0.58 m
Now we can substitute the values into the formula:
fundamental frequency = 450 / (2 * 0.58)
Calculating this, we have:
fundamental frequency = 775.86 Hz
Therefore, the fundamental frequency for a 58 cm banjo string with a speed of waves of 450 m/s is approximately 775.86 Hz.