How does the speed of waves on a string depend on its mass m, length l, and tension (that is, force) t?

Explanation:

The speed of a wave on the string is given by :

..........(1)

where

T is the tension force

is mass of the string per unit length,

M is the mass of the string

L is the length of the string

So, it is clear from equation that the speed of waves on a string is directly proportional to the square root of tension and length of the string. It is inversely proportional to the square root of the mass of the string.

think about the oscillation of the toy shown in the video. when the toy is at the highest point of its motion, its velocity is zero and its acceleration is negative.