Answer :
The speed of the vibrating bass violin string is 1881 m/s, using the fundamental frequency formula for a string fixed at both ends and given values.
To find the speed at which the string is vibrating, we can use the formula for the fundamental frequency of a string fixed at both ends:
f1 = v / 2L
Where:
f1 is the fundamental frequency (1045 Hz)
v is the wave speed
L is the length of the string (0.9 m)
Rearranging the equation to solve for the wave speed v:
v = 2L * f1
Substitute the given values into the formula:
v = 2 * 0.9 m * 1045 Hz
Calculating the value:
v = 1881 m/s
Thus, the speed at which the string is vibrating is 1881 m/s.