A transverse wave on a cord can be modeled by the equation y(x, t) = 0.364 sin(1.20x + 88.6t), where x and y are in mete

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A Transverse Wave On A Cord Can Be Modeled By The Equation Y X T 0 364 Sin 1 20x 88 6t Where X And Y Are In Mete 1 (115.56 KiB) Viewed 34 times

A transverse wave on a cord can be modeled by the equation y(x, t) = 0.364 sin(1.20x + 88.6t), where x and y are in meters and t is in seconds. Imagine the cord has a small mark on it at x = 0. (a) What is the time interval (in ms) between the first two instants when this mark has a position of y = 0.175 m? 22.6 X We are interested in the first two times the mark at x = 0 reaches the desired displacement. When dealing with angles be careful with the distinction between degrees and radians. Since we are interested in the first two times the sine of an angle has a particular value, it may be helpful to recall that sin(0) = sin(-0). ms (b) What distance (in m) does the wave travel during the time interval found in part (a)? 1.9 X Check your units. How is the distance the wave travels along the cord related to the speed and time of travel? How is the speed of the wave travelling along the cord related to the angular frequency and wave number? m