Question

A transverse wave on a string has an amplitude A. A tiny spot on the string
is colored red. As one cycle of the wave passes by, what is the total
distance traveled by the red spot?​

Answer 1

hope it helps you..........

Answer 2

Given:

A transverse wave on a string has an amplitude "A". A tiny spot on the string is colored red.

To find:

Distance travelled by red spot in one cycle of the wave.

Solution:

So , we know that particles in a transverse wave oscillate periodically in a direction perpendicular to propagation of wave.

• Frankly speaking , the type of motion shown by particles is SHM (simple harmonic motion)

So , in a wave cycle , the red dot will start from a particular position and will end at the same position.

Let's assume that the red coloured part started from mean point. So, it will go to one extremity return back to the other extremity and finally end at the mean position.

So, it traverses a distance 4 times of the Amplitude.

$\boxed{ \sf{ \therefore \: distance \: travelled \: = 4A}}$