Respuesta :
Answer:
The tension in string is found to be 188.06 N
Explanation:
For the vibrating string the fundamental frequency is given as:
f1 = v/2L
where,
f1 = fundamental frequency = 335 Hz
v = speed of wave
L = length of string = 28.5 cm = 0.285 m
Therefore,
v = f1 2L
v = (335 Hz)(2)(0.285)
v = 190.95 m/s
Now, for the tension:
v = √T/μ
v² = T/μ
T = v² μ
where,
T = Tension
v = speed = 190.95 m/s
μ = linear mass density of string = mass/L = 0.00147 kg/0.285 m = 5.15 x 10^-3 kg/m
Therefore,
T = (190.95 m/s)²(5.15 x 10^-3 kg/m)
T = 188.06 N
Answer:
Tension on the string is 188.14N
Explanation:
Using V^2 = T/(m/l)
Where V = velocity
T= tension
m/l= density
Wavelength made for an open tube = 2L
Where L = length of string
Velocity = frequency × wavelength
Wavelength = 2× 0.285m= 0.57m
Velocity= 335×0.57= 190.95m/s
Density=m/l= 0.00147/0.285 = 0.00516kg/m
V^2 = T/(m/l)
190.95= T/ 0.00516
T = 190.95 × 0.00516= 188.14N