PHY 1001
Unit Six – Motion
Mathematical Assignment
1. A wave is sent back and forth along a rope 4 m long with a mass of 0.6 kg by exerting a force a force of 30 N. Calculate the linear mass density of the rope (in kg/m).
Key Idea Stock of Data and
Solution
Sanity Check
2. A 3 Hz wave has a wavelength of 0.4 m. Calculate the speed of the wave (in m/s).
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Solution
Sanity Check
3. A wave travels at 60 m/s and has a wavelength of 2.8 m. Calculate the wave frequency (in Hertz).
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Solution
Sanity Check
4. Calculate the wavelength (in m) of the note middle “C” (frequency = 256 Hz) in air at room temperature and pressure.
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Solution
Sanity Check
5. If the tension (i.e., force) on a string increases 2 times but the density of the string remains constant, the new speed of waves on the string will be how many times greater than the original speed?
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Solution
Sanity Check
6. If the length of a string increases 2 times but the mass of the string remains constant, the new density of the string will equal the original density multiplied by what factor?
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Solution
Sanity Check
7. Calculate the speed of a wave (in m/s) in a material if the frequency is 200 Hz and the wavelength is 0.5 m.
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Solution
Sanity Check
8. Calculate the speed of sound in a string that has a tension of 100 N and a linear mass density of 0.0001 kg/m
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Solution
Sanity Check
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