Question

The first harmonic of a string tied down at both ends has a frequency of 26 Hz. If the length of the string is 0.83 m, what is the speed of waves on the string?

Answer 1

the speed of the wave on the string is 43.16 m/s

Step-by-step explanation:

Given;

first harmonic of the wave formed by the string, f₀ = 26 Hz

length of the string, L = 0.83 m

The wavelength for first harmonic of the wave is calculated as;

L = N ----> N

L = λ₀/2

λ₀ = 2L

The speed of the wave on the string is calculated as follows;

v = f₀λ₀

v = f₀ x 2L

v = 26 x 2 x 0.83

v = 43.16 m/s

Therefore, the speed of the wave on the string is 43.16 m/s