Linear density of a string of is 1.3 10⁻⁴ ~kg / m and wave equation is y=0.021 (x+30 t) . Find, the tension in the string where, x in metre and t in second.

Step-by-step solution

Mass per unit length m=1.3 10⁻⁴ ~kg / m y=0.021 (x+30 t) Comparing with y=a ( t+ 2 x )a=0.021, =302 n=30 aligned & n= 30 2 & We know that 2 =1 & aligned aligned & = 1 2 Frequency, n & = 1 T m 30 2 & = 1 2 T 1.3 10⁻⁴ T & =1.3 10⁻⁴ 900 & =0.117=0.12 ~N aligned