the linear density of a vibrating string is 1.3 × 10−4 kg m−1. a transverse wave is propagating on the string and is described by the equation y (x, t) = 0.021 sin (30t − x) where x and y are in metres and t is in seconds. calculate the tension
Answers
Answered by
49
velocity of wave = frequency x wavelength
according to equation,
wavelength =2π
frequency = 30/2π
so, velocity of wave = 30/2π × 2π = 30m/s
we know,
v =√(T/¢)
where v Is the velocity of wave , T is the tension in string , and ¢ mass per unit length .
30 = √(T/1.3 × 10^-4)
900 × 1.3 × 10^-4 = T
T = 11.7 x 10^-2 N
T = 0.117 N
according to equation,
wavelength =2π
frequency = 30/2π
so, velocity of wave = 30/2π × 2π = 30m/s
we know,
v =√(T/¢)
where v Is the velocity of wave , T is the tension in string , and ¢ mass per unit length .
30 = √(T/1.3 × 10^-4)
900 × 1.3 × 10^-4 = T
T = 11.7 x 10^-2 N
T = 0.117 N
Similar questions