A transverse sinusoidal wave on a string is moving in the−x-direction. Its speed is 30.0 m/s, and its period is 20.0 ms. Att = 0, a colored mark on the string at x = 0 has a verticalposition of 2.00 cm and is moving down with a speed of 1.30 m/s.(a) What is the amplitude of the wave (in m)? 0.0204 Correct: Youranswer is correct. m (b) What is the phase constant (in rad)?Incorrect: Your answer is incorrect. Use the expressions you wrotefor y and vtransverse from part (a), and divide them to find anequation for tan(ϕ). Take the inverse to find ϕ. Note that theangle you are looking for is in the second quadrant, so you willneed to modify your calculator answer as needed. rad (c) What isthe maximum transverse speed of the string (in m/s)? m/s (d) Writethe wave function for the wave. (Use the form A sin(kx + ωt + ϕ).Assume that y and x are in m and t is in s. Do not include units inyour answer.) y(x, t) = m
