Question

Problem 16.34

The amplitude of a wave traveling on a string is 0.250 m. The 8.50-Hz wave is traveling in the positive x direction at a wave speed of 17.5 m/s .Assume this wave is a sinusoidal wave.

PART A

Determine its wavelength.

Express your answer with the appropriate units.

PART B

Select the correct expression for its time-independent wave function.

asin(qt)

ae−qt

ae−bx

asin(bx)

PART C

Determine the parameter a for the expression in part B.

Express your answer with the appropriate units.

PART D

Determine the parameter b for the expression in part B.

Express your answer with the appropriate units.

PART E

For t = 30.0 ms compute the displacement of the point on the string at x = 1.25 m,assuming an initial phase ϕi of zero.

Express your answer with the appropriate units.

PART F

For t = 30.0 ms compute the transverse velocity of the point on the string at x = 1.25 m,assuming an initial phase ϕi of zero.

Express your answer to one significant digit and include the appropriate units.

Answer 1