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# LPH 105 W15 11.7-8

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## Richard Datwyler

on 23 June 2016

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#### Transcript of LPH 105 W15 11.7-8

Review Wave Equation
Pendulum
Wave motion
Traveling wave
Consider the equation x=.145 sin(2.75 t) describing a 50 gram mass oscillating on a spring.
What is the amplitude, frequency and period?
What is the max velocity and energy
At what time does the spring first reach the maximum positive displacement?
What is the velocity and energies when the mass is .1 m from the equilibrium?
consider the equation v = 3.5 cos(1.5 t) describing
a .5 kg mass oscillating on a spring.

What is the max velocity, frequency and period?
What is the amplitude and total energy
At what time will the masses velocity first be half its starting velocity
What is the position and energies at that time?
A pendulum makes 35 complete oscillations in 25 s. What is its period, and frequency, and what is the length of the pendulum?
Your grandfather clock's pendulum has a length of .9930 m. If the clock runs slow and loses 21 s a day, how should you adjust the length of the pendulum?
A fisherman notices that the wave crests pass the bow of his anchored boat every 3.0 s. He measures the distance between two crests to be 7.0 m. How fast are the waves traveling?
A sound wave in air has a frequency of 282 Hz and travels with a speed of 343 m/s. How far apart are the wave crests?
A .40 kg cord is stretched between two supports 8.5 m apart. When one support is struck by a hammer, a wave travels down the cord and reaches the other support in 0.85 s. What is the tension in the cord?
+ is to the left, - is to the right
"How can water be both transverse and longitudinal?"

"I don't understand the equations in section 11-15. How are x and y different, and how are y and A different?"
"In addition to the mathematical representation of a traveling wave, can you go over the concept of it as well? I'm struggling visualizing the concepts behind the math."
" Can we go over how sound waves are longitudinal because I have always thought that they were transverse?
A= .145 m f = .438 Hz T =2.28 s
.399 m/s 3.98 mJ
.571 s
v=.289 m/s KE=2.08 mJ PE=1.89 mJ
3.5 m/s f=.239 Hz T=4.19 s
A=2.33 m 3.06 J
t=.698 s
x=2.02 m KE=.766 J PE 2.30 J
f=1.4 Hz
T=.714 s
L=.127 m
2.33 m/s
1.22 m
4.71 N
Find the period.
note this is too big, and needs to be just 2 find the length that gives a period of 2 seconds)
2.00005277
L = .992947599
.0000524 m smaller
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