A transverse mechanical wave is traveling along a string lying along the x-axis. The displacement of the string as a function of position and time, y(x,t), is described by the following equation: y(x,t) = 0.0490sin(3.60x-182t) where x and y are in metres and the time is in s.
a) What is the wavelength of the wave?
b) What is the velocity of the wave? (Define positive velocity along the positive x-axis.)
c) What is the maximum speed in the y-direction of any piece of the string? (Give a positive answer for speed.)