Question

The speed of a wave in the string is 16.2ms. The mass per unit length of the string is 0.3ms calculate tension in the string

Answer 1

Answer:

The tension in the string is 78.73 N.

Explanation:

The tension in the string can be determined from the expression;

v = $\sqrt{\frac{T}{m} }$

where: v is the speed of the wave in the sting, T is the tension in the string and m is the mass per unit length of the sting.

Given that: v = 16.2 m/s, and m = 0.3 kg/m.

Then;

16.2 = $\sqrt{\frac{T}{0.3} }$

Square both sides to have,

$(16.2)^{2}$ = $\frac{T}{0.3}$

T = $(16.2)^{2}$ x 0.3

  = 252.44 x 0.3

  = 78.732

T = 78.732 N

The tension in the string is 78.73 N.