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Two waves are traveling in opposite directions on the same string. The displacem

ID: 2224617 • Letter: T

Question

Two waves are traveling in opposite directions on the same string. The displacements caused by the individual waves are given by y1 = (21.6 mm)sin(9.00?t ? 1.25?x) and y2 = (33.0 mm)sin(2.88?t + 0.400?x). Note that the phase angles (9.00?t ? 1.25?x) and (2.88?t + 0.400?x) are in radians, t is in seconds, and x is in meters. At t = 3.96 s, determine the net displacement (in mm) of the string for the following values of x. Be sure to include the algebraic sign (+ or ?) with your answers. (a) x = 2.36 m answer in mm (b) x = 2.76 m answer in mm

Explanation / Answer

a.) y1=21.6 sin(9.00*pi*3.96-1.25*pi*2.36)= y2=33 sin(2.88*pi*3.96-0.40*pi*2.36)= b.) Try this one on your own. It should just be a matter of plugging in the right numbers. leaving the calculation part for u..happy to help