Worksheet #23 Mechanical
and Transverse Waves
Supplemental Instruction
Iowa State University
Leader:
Course:
Instructor:
Date:
Brian
PHYS 221
Ho
04/06/2014
1.
Transverse waves on a string are moving in the –x direction. Their speed is 8.00 m/s,
amplitude = 0.07 m and wavelength = 0.320 m. At t = 0, the x = 0 end of the string has its
max displacement in the +y direction. What is the transverse displacement of a particle at x
= 0.360 m and t = 0.150 s?
2.
A simple harmonic oscillator at the point x = 0 generates a wave on a rope. The oscillator
operates with frequency = 40.0 Hz and amplitude = 3.00 cm. The rope’s linear mass density
= 50 g/m and the tension in the rope = 5.0 N. What is the maximum transverse acceleration
for points on the rope?
3.
A jet at takeoff may produce noise with intensity 10 W/ m^2 at 30.0 m distance. Wisely,
you live at a distance from the airport that allows you to experience the takeoff noise at an
intensity of 1.0*10^-6 W/m^2. If your friend lives twice as far from the airport as you, what
sound intensity will she experience?
4.
You place your pet ant, Klyde, on top of a horizontal, stretched rope where he holds on
tight. You start a sinusoidal transverse wave of wavelength = λ
and amplitude = A propagating along the rope. The rope’s mass = m, length = l and is under
tension = f. The wave’s motion is in the vertical plane, and Klyde’s mass is so small that it
has no effect on the waves. What is Klyde’s top speed as he oscillates up and down?
5.