Question

The linear density of a vibrating string 1.3×1/10000 kg/m .A transverse wave is propagation on the string &is describe by the equation y (x,t)= 0.021sin (30t-x) where x&y is in meter &t is in second calculate the tension in the string.

Answer 1

Answer on Question #66793-Physics-Molecular Physics-Thermodynamics

The linear density of a vibrating string $1.3 \times 1/10000 \, \mathrm{kg/m}$ . A transverse wave is propagation on the string & is describe by the equation $y(x,t) = 0.021 \sin(30t - x)$ where $x$ is in meter & $t$ is in second calculate the tension in the string.

Solution

$$v = \frac {\omega}{k} = \frac {3 0}{1} = 3 0 \frac {m}{s}$$ $$v = \sqrt {\frac {T}{\mu}}$$

The tension in the string is

$$T = \mu v ^ {2} = 1. 3 \cdot 1 0 ^ {- 4} (3 0) ^ {2} = 0. 1 1 7 N.$$

Answer: 0.117 N.

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