Answer to Question #102970 in Electrical Engineering for Promise Omiponle

Question

1. A wave on a string has the form y(x,t)=−20 cos(3(pi)x - 12(pi)t + pi/6), with all values in SI units. a)Find its amplitude, (linear) frequency, wavelength, speed of propagation, direction of travel, maximum transverse speed and maximum transverse acceleration of the string. (Clearly label each of these answers and express in the appropriate units.)
b)Write the equation of another wave which if added to this one will produce a standing wave pattern. c)Provide the equation of the resulting standing wave.

2. In each case below, state whether the function represents a traveling wave or not:
a) y(x,t)=3cos[pi((x/2)-t)]
b) y(x,t)=3cos[pi((x/2)-t)]sin[pi((x/2)+t)]
c) y(x,t)=3cos[pi((x/2)-t)]sin[pi(x-2t)]
d) y(x,t)=3sin[pi((x/2)-t)]sin[pi(2x-t+4)]
e) y(x,t)=3e^−(3x+2t)

Answer 1

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