CalcPad - Sound Waves Problem Sets

Set SW1 – Speed of Sound 1
4 Problems - Very Easy Difficulty

Relate the speed of sound in air to the temperature of air.

Set SW2 – Speed of Sound 2
9 Problems - Easy Difficulty

Use the v=d/t equation to relate the speed of sound to the distance traveled and the time of travel. Many problems involve echoes or sound reflection.

Set SW3 – Wavelength, Frequency, and Speed 1
7 Problems - Easy Difficulty

Use the v=f•lamda equation to relate the speed of sound to the wavelength of sound and the frequency of sound.

Set SW4 – Wavelength, Frequency, and Speed 2
6 Problems - Medium Difficulty

Use the v=f•lambda equation to relate the speed of sound to the wavelength of sound and the frequency of sound. Several problems center around a diagram.

Set SW5 – Speed, Tension, Density
6 Problems - Hard Difficulty

Relate the speed of waves in a vibrating string (wire, rope, etc.) to the tension to which it is pulled and the linear density of the string.

Set SW6 – Sound Intensity and Decibels 1
8 Problems - Medium Difficulty

Determine the decibel level of a sound from the intensity (in W/m²) and vice versa.

Set SW7 – Sound Intensity and Decibels 2
5 Problems - Medium Difficulty

Relate the power output of a sound source to the intensity level or decibel level a given distance from the source.

Set SW8 – Sound Intensity and Decibels 3
7 Problems - Hard Difficulty

Relate the decibel level at one location from a source of sound to the decibel level at a second location.

Set SW9 – Doppler Shift
6 Problems - Medium Difficulty

Use a Doppler shift equation to predict the sound frequency that would be perceived under a specified set of conditions (frequency of source and speed of source and observer).

Set SW10 – Resonating Strings 1
5 Problems - Easy Difficulty

Use a standing wave pattern for a resonating string to relate the length of the string to the wavelength of the wave.

Set SW11 – Resonating Strings 2
8 Problems - Medium Difficulty

Relate the frequency of one harmonic of a vibrating string to the frequency of another harmonic.

Set SW12 – Resonating Strings 3
8 Problems - Medium Difficulty

For a given harmonic of a vibrating string, relate the length of the string to the harmonic frequency and the speed of waves within the string.

Set SW13 – Resonating Strings 4
8 Problems - Hard Difficulty

For a given harmonic of a vibrating string, relate the length of the string to the harmonic frequency and the speed of waves within the string (or to the strings tension and linear density).

Set SW14 – Resonating Strings 5
8 Problems - Hard Difficulty

For a given harmonic of a vibrating string, relate the length of the string to the harmonic frequency and the speed of waves within the string (or to the strings tension and linear density). Most questions involve proportional reasoning.

Set SW15 – Open-End-Air Columns 1
7 Problems - Easy Difficulty

Use a standing wave pattern for an open-end air column to relate the length of the air column to the wavelength of the wave.

Set SW16 – Open-End-Air Columns 2
7 Problems - Easy Difficulty

Relate the frequency of one harmonic of an open-end air column to the frequency of another harmonic.

Set SW17 – Open-End-Air Columns 3
6 Problems - Hard Difficulty

For a given harmonic of an open-end air column, relate the length of the air column to the harmonic frequency and the speed of sound in air.

Set SW18 – Open-End-Air Columns 4
7 Problems - Medium Difficulty

For a given harmonic of an open-end air column, relate the length of the air column to the harmonic frequency and the speed of sound in air (or the temperature of the air).

Set SW19 – Closed End Air Columns 1
6 Problems - Easy Difficulty

Use a standing wave pattern for a closed-end air column to relate the length of the air column to the wavelength of the wave.

Set SW20 – Closed End Air Columns 2
6 Problems - Easy Difficulty

Relate the frequency of one harmonic of a closed-end air column to the frequency of another harmonic.

Set SW21 – Closed End Air Columns 3
7 Problems - Medium Difficulty

For a given harmonic of a closed-end air column, relate the length of the air column to the harmonic frequency and the speed of sound in air.

Set SW22 – Closed End Air Columns 4
8 Problems - Medium Difficulty

For a given harmonic of a closed-end air column, relate the length of the air column to the harmonic frequency and the speed of sound in air (or the temperature of the air). Some problems involve comparisons to open-end air columns.

Set SW23 – Beat Frequency
5 Problems - Medium Difficulty

Relate the frequency of two sound sources with similar but non-identical frequencies to the beat frequency.

Waves & Sound 3: Resonating Strings (CP)
6 Problems - Medium Difficulty

Use the wave speed equation (v = f•λ), a standing wave pattern (draw one if not provided), the relationship between L and λ, and the relationship between f_n and f₁ to solve the following problems.

Waves & Sound 3: Sound Properties
5 Problems - Easy Difficulty

Use your basic wave equations for frequency and period, wavlength and length, speed-distance-time, and speed-wavelength-frequency to solve the following problems.

Waves & Sound 3: Sound Properties (HP)
7 Problems - Easy Difficulty

Use your basic wave equations for frequency and period, wavlength and length, speed-distance-time, and speed-wavelength-frequency to solve the following problems.

Waves & Sound 4: Open-End Air Columns (CP)
6 Problems - Medium Difficulty

Use the wave speed equation (v = f•λ), a standing wave pattern (draw one if not provided), the relationship between L and λ, and the relationship between f_n and f₁ to solve the following problems.

Waves & Sound 4: Resonating Strings
5 Problems - Medium Difficulty