Answer Happy

A transverse sinusoidal wave on a string is moving in the -x-direction. Its speed is 30.0 m/s, and its period is 22.0 ms. At t = 0, a colored mark on the string at x = 0 has a vertical position of 2.00 cm and is moving down with a speed of 1.20 m/s. (a) What is the amplitude of the wave (in m)? 0.02042 m (b) What is the phase constant (in rad)? 1.7 rad (c) What is the maximum transverse speed of the string (in m/s)? 5.712 m/s (d) Write the wave function for the wave. (Use the form A sin(kx + ot + o). Assume that y and x are in m and t is in s. Do not include units in your answer.) = y(x, t) = 0.0204 sin (9.52x + 90.91at + 1.7) x Use the standard wave function and the value of A calculated in part (a) and o and p in part (b). You will need to calculate k, which you can do using the relationship among speed, frequency, and wavelength and the relationship between frequency and angular frequency. m