To determine the wave speed on the string, we need to use the wave equation:
Wave Speed = Frequency × Wavelength
Given:
Frequency = 31 Hz
Vibrating length of string = 89 cm = 0.89 m
To find the wavelength, we can use the formula:
Wavelength = 2 × Vibrating Length
Wavelength = 2 × 0.89 m = 1.78 m
Now we can calculate the wave speed:
Wave Speed = Frequency × Wavelength
Wave Speed = 31 Hz × 1.78 m
Wave Speed ≈ 55.18 m/s
Therefore, the wave speed on this string is approximately 55.18 m/s.