Question #102970

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)

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)

Expert's answer

Dear Promise Omiponle, your question requires a lot of work, which neither of our experts is ready to perform for free. We advise you to convert it to a fully qualified order and we will try to help you. Please click the link below to proceed: **Submit order**

Learn more about our help with Assignments: Electrical Engineering

## Comments

## Leave a comment