SHM, Waves, Thermo, E&M Practice Problem Workbook
SHM, Waves, Thermo, E&M Practice Problem Workbook
SHM, Waves, Thermo, E&M Practice Problem Workbook
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Substances<br />
MECHANICS PRACTICE PROBLEM SETS 7<br />
10. (G12.51) The predominant frequency of a certain police car’s siren is 1800 Hz when<br />
at rest. What frequency do you detect if you move with a speed of 30.0 m/s…<br />
a. Toward the car Answer: 1950 Hz<br />
b. Away from the car Answer: 1640 Hz<br />
11. (G12.53) In one of the original Doppler experiments, one tuba was played on a<br />
moving platform car at a frequency of 75 Hz, and a second identical one was played<br />
on the same tone while at rest in the railway station. What beat frequency was heard<br />
if the train approached the station at a speed of 10.0 m/s Answer: 2 Hz<br />
12. (G12.78) The frequency of a steam train whistle as it approaches you is 522 Hz. After<br />
it passes you, its frequency is measured as 486 Hz. How fast was the train moving<br />
Assume constant velocity.<br />
Answer: 12.3 m/s<br />
13. (G12.71) A tight guitar string has a frequency of 600 Hz as its third harmonic. What<br />
will be its fundamental frequency if it is fingered at a length of only 60% of its<br />
original length<br />
Answer: 333 Hz<br />
14. (G12.73) The string of a violin is 32 cm long between fixed points with a<br />
fundamental frequency of 440 Hz and a linear density of 5.5 x 10 -4 kg/m.<br />
a. What are the speed and tension in the string Answer: 2.8 x 10 2 m/s, 44 N<br />
b. What is the frequency of the first overtone Answer: 880 Hz<br />
Material Elastic<br />
Modulus<br />
Iron, cast 100 x 10 9 N/m 2<br />
Steel 200 x 10 9 N/m 2<br />
Brass 100 x 10 9 N/m 2<br />
Aluminum 70 x 10 9 N/m 2<br />
Concrete 20 x 10 9 N/m 2<br />
Brick 14 x 10 9 N/m 2<br />
Marble 50 x 10 9 N/m 2<br />
Granite 45 x 10 9 N/m 2<br />
Wood (pine)<br />
Parallel to Grain 10 x 10 9 N/m 2<br />
Perpendicular to 1 x 10 9 N/m 2<br />
Grain<br />
Nylon 5 x 10 9 N/m 2<br />
Bone (limb) 15 x 10 9 N/m 2<br />
Material Bulk Modulus<br />
Water 2.0 x 10 9 N/m 2<br />
Mercury 2.5 x 10 9 N/m 2<br />
Alcohol (ethyl) 1.0 x 10 9 N/m 2<br />
Air 1.01 x 10 5 N/m 2<br />
Gamzon & Gregorian-Michaelsen 6/13/12
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