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Physics - Sound: Vibrations, volume, and pitch

Grade 4Cambridge (IGCSE)

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

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Sound is created by vibrations. A vibration is a rapid back-and-forth movement. When an object vibrates, it causes the particles in the surrounding medium to vibrate as well.

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Sound travels as waves through different mediums: solids, liquids, and gases. Sound cannot travel through a vacuum because there are 00 particles to carry the vibrations.

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Volume (Loudness) is determined by the amplitude of the vibration. Larger vibrations produce sounds with higher energy, measured in decibels (dBdB).

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Pitch (Highness or Lowness) is determined by the frequency of the vibration. Frequency is the number of vibrations per second, measured in Hertz (HzHz).

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A high-pitched sound is produced by a high frequency of vibrations (e.g., a thin, short string), while a low-pitched sound is produced by a low frequency of vibrations (e.g., a thick, long string).

📐Formulae

f=Number of VibrationsTime (s)f = \frac{\text{Number of Vibrations}}{\text{Time (s)}}

Speed (v)=Distance (d)Time (t)\text{Speed (v)} = \frac{\text{Distance (d)}}{\text{Time (t)}}

Frequency (Hz)∝1Length (L)\text{Frequency (Hz)} \propto \frac{1}{\text{Length (L)}}

💡Examples

Problem 1:

A drum skin vibrates 120120 times in 22 seconds. Calculate the frequency of the sound in HzHz.

Solution:

f=1202=60 Hzf = \frac{120}{2} = 60\text{ Hz}

Explanation:

Frequency is the number of vibrations per second. Dividing the total vibrations by the total time gives the frequency.

Problem 2:

Two tuning forks are struck. Fork A vibrates at 256 Hz256\text{ Hz} and Fork B vibrates at 512 Hz512\text{ Hz}. Which fork produces a higher pitch?

Solution:

Fork B

Explanation:

Pitch is directly related to frequency. Since 512 Hz>256 Hz512\text{ Hz} > 256\text{ Hz}, Fork B vibrates faster and produces a higher-pitched sound.

Problem 3:

A scientist measures the distance sound travels in air. If the sound travels 680 meters680\text{ meters} in 2 seconds2\text{ seconds}, what is the speed of sound?

Solution:

v=680 m2 s=340 m/sv = \frac{680\text{ m}}{2\text{ s}} = 340\text{ m/s}

Explanation:

Using the formula v=dtv = \frac{d}{t}, we divide the distance by the time to find the speed.