Explanation:
The given data is as follows.
Length (l) = 2.4 m
Frequency (f) = 567 Hz
Formula to calculate the speed of a transverse wave is as follows.
f = [tex]\frac{5}{2l} \times v[/tex]
Putting the gicven values into the above formula as follows.
f = [tex]\frac{5}{2l} \times v[/tex]
567 Hz = [tex]\frac{5}{2 \times 2.4 m} \times v[/tex]
v = 544.32 m/s
Thus, we can conclude that the speed (in m/s) of a transverse wave on this string is 544.32 m/s.