One end of a string is secured to a wall while a student holds the other end of the string so that the string remains taut. The student shakes the end of the string vertically up and down so that a transverse wave is created on the string as it travels toward the wall. How can the student change the experiment, if at all, so that the wave speed of the wave increases

8.80 Hz

Explanation:

The frequency of a loaded spring is given by

where k and m are the spring constant and the mass of the load respectively. The values of these do not change because they are internal properties of the components of the system.

Hence, the frequency of the vertical spring mass does not change and is 8.80 Hz.

On the other hand, the frequency of the simple pendulum is affected because it is given by

where g and l are acceleration due to gravity and length of the pendulum, respectively. It is thus seen that it depends on g, which changes with location. In fact, the new frequency is given by