krit.club logo

Physics - Sound: Vibrations, volume, and pitch

Grade 4IGCSE

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

🔑Concepts

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.

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.

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

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

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.