Answer:
frequency of the hum = 81 Hz
Explanation:
The velocity of the wave is determined by the relation
v = √(T/miu)
where v = velocity of the wave
T = tension on the string
miu = mass per unit length of the string or linear density = m/L
but here m= 5g = 0.005kg
L = 0.9 m
miu = 0.005/0.9 = 0.00556kg/m
To get the tension on the string we multiply the mass of the sculpture by the acceleration due to gravity, 9.8m/s²
T = 12kg x 9.8m/s² = 117.6 N
hence,
v= √(117.6/0.00556)
v = 145.43 m/s
But
wavelength = 2L = 2 x 0.9 = 1.8m
Also,
frequency = velocity/ wavelength
f = 145.43/1.8 = 80.7967 Hz
The frequency of the hum is 80.8Hz approximately 81Hz
