Question

A sinusoidal transverse wave travels along a stretched string. The amplitude of this wave is 0.0889m, its frequency is 3.13 Hz, and its wavelength is 1.75 m. How much time does it take for a point on the string to complete one full oscillation?

Answer 1

To complete one full oscillation, a point on the string requires a period of approximately 0.3195 seconds, which is the reciprocal of the wave's frequency of 3.13 Hz.

Step-by-step explanation:

The time it takes for a point on the string to complete one full oscillation is the period of the wave. The period (T) is the reciprocal of the frequency (f). Therefore, we can calculate the period by taking the inverse of the given frequency: T = ¹/f, T = 1/3.13 Hz, T = 0.3195 seconds. So, a point on the string completes one full oscillation in approximately 0.3195 seconds. Therefore, a point on the string completes one full oscillation in approximately 0.3195 seconds. This relationship highlights the inverse connection between the period and frequency in wave motion.