Halliday, Resnick & Walker — Waves–I: Problem Problem_10

The equation of a transverse wave traveling along a very long string is \( y = 6.0 \sin(0.020\pi x + 4.0\pi t) \), where \( x \) and \( y \) are expressed in centimeters and \( t \) is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave, and (f) the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at \( x = 3.5 \text{ cm} \) when \( t = 0.26 \text{ s} \)?