The amplitude of continuous vibrations of the point of the string is 1 mm, the frequency

The amplitude of continuous vibrations of the point of the string is 1 mm, the frequency is 400 Hz. How long does a string point travel in 0.1 s?

To calculate the path traversed by the specified point of the string, we use the formula: S = 4A * n = 4A * t * ν.

Variables: A – amplitude of continuous oscillations (A = 1 mm = 10-3 m); t is the duration of the movement of the point of the string (t = 0.1 s); ν – frequency (ν = 400 Hz).

Let’s make a calculation: S = 4A * t * ν = 4 * 10-3 * 0.1 * 400 = 0.16 m.

Answer: In 0.1 s, the specified point of the string will travel 0.16 m.