A 100-m long transmission cable is suspended between two towers. If the mass density is 2.01 kg/m and the tension in the cable is 3.00 × 10⁴ N, what is the speed of transverse waves on the cable? A) 60 m/s B) 122 m/s C) 244 m/s D) 310 m/s E) 1 500 m/s

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Quizplus · Accepted Answer

The speed of transverse waves on a string or cable is given by the formula $v = \sqrt{\frac{T}{\mu}}$, where $v$ is the speed of the wave, $T$ is the tension in the cable, and $\mu$ is the mass per unit length (mass density) of the cable. Given $T = 3.00 \times 10^{4} \, \text{N}$ and $\mu = 2.01 \, \text{kg/m}$, we can calculate the speed as $v = \sqrt{\frac{3.00 \times 10^{4}}{2.01}} \approx 122 \, \text{m/s}$.

A 100-M Long Transmission Cable Is Suspended Between Two Towers