= 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

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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 1 (161.88 KiB) Viewed 37 times

= 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)? 1.57 x Use the expressions you wrote for y and Vtransverse from part (a), and divide them to find an equation for tan(Q). Take the inverse to find q. Note that the angle you are looking for is in the second quadrant, so you will need to modify your calculator answer as needed. rad v (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.) = TC y(x, t) = 0.02 sin 9.52x + 285.6t+ 2 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