Question

When a particular string is vibrated at a frequency of 10Hz, a transverse wave of wavelength 0.25m is produced. What is the speed of the wave as it travels along the string.

Answer 1

Answer:

the speed of the wave as it travels along the string is 340 ms

Answer 2

Answer:

The speed of the wave as it travels along the string $2.5 \mathrm{~m} \cdot \mathrm{s}^{-1}$

Explanation:

A transverse wave is one in which the particles move perpendicular to the wave's propagation direction.

A longitudinal wave is one in which the particles move in a direction that is parallel to the propagation of the wave.

Given:

• frequency of wave: $f=10 \mathrm{~Hz}$
• wavelength of wave: $\lambda=0.25 \mathrm{~m}$

Speed of the waves is given by $v=f \cdot \lambda$

$\begin{aligned}v &=f \cdot \lambda \\&=(10 \mathrm{~Hz})(0.25 \mathrm{~m}) \\&=\left(10 \mathrm{~s}^{-1}\right)(0.25 \mathrm{~m}) \\&=2.5 \mathrm{~m} \cdot \mathrm{s}^{-1}\end{aligned}$

The speed of the wave as it travels along the string $2.5 \mathrm{~m} \cdot \mathrm{s}^{-1}$