Grade 7

Grade 7Sound and waves


Speed of sound in different mediums


The speed of sound is one of the most fascinating concepts in physics. It involves understanding how sound travels through different substances or mediums. The speed of sound waves largely depends on the medium they are traveling through. Let's explore this concept in detail!

What is sound?

Before learning about the speed of sound, it is important to understand what sound actually is. Sound is a form of energy that travels in the form of waves. These waves are created when an object vibrates, causing the air molecules around it to vibrate. These vibrations travel through the air in the form of sound waves, which are eventually detected by our ears.

How do sound waves travel?

Sound travels in wave patterns, much like the ripples created when a stone is thrown into a pond. Here's a simplified representation of sound waves:

In the figure above, the line represents the oscillation path of a sound wave. The speed of these waves can vary depending on the medium they travel through.

What is the medium?

The medium is the substance or material that carries sound waves. Gases, liquids, and solids can all act as a medium that carries sound. However, each of these mediums has different properties that affect the speed at which sound travels through them.

Why is the speed of sound different in different mediums?

The speed of sound in different mediums varies due to two main factors: the density and elasticity of the medium. Let's break these down:

  • Density: This is the mass of a substance per unit volume. In general, sound travels faster in denser media.
  • Elasticity: This describes how quickly a material returns to its original shape after being deformed. More elastic materials help sound travel faster.

Speed of sound in air

Sound travels in air at a speed of about 343 meters per second (at 20 degrees Celsius). In air, the speed of sound can vary depending on temperature, humidity, and pressure.

Example

Imagine you are standing 343 meters away from your friend. You both decide to clap together. How long will it take for the sound of the claps to reach each other? Since the speed of sound in air is 343 m/s, it will take exactly 1 second for the sound to travel that distance.

Speed of sound in water

Sound travels very fast in water, about 1482 meters per second. This is because water is denser and more flexible than air.

In our picture you can see that sound waves in water follow the same path as sound waves in air, but they travel much faster.

Example

You are swimming underwater and hear a boat horn from 1482 m away. This sound will reach you in about 1 second because the speed of sound underwater is 1482 m/s.

Speed of sound in solids

Solids carry sound waves even faster than liquids and gases. For example, the speed of sound in steel is about 5960 meters per second.

In the figure, a sound wave in a solid medium is shown traveling faster and with more energy than in air or water.

Example

You tap a steel railing with a hammer. A person standing 596 m away will hear the tap exactly 0.1 s later, because the speed of sound in steel is 5960 m/s.

Formula for speed of sound

The speed of sound is given by the following formula:

v = √(E/ρ)

Where:

  • v is the speed of sound in the medium (m/s)
  • E is the elasticity of the medium
  • ρ is the density of the medium (kg/m^3)

This formula summarizes how the speed of sound depends on the elastic and dense properties of the medium. Solids, being very elastic and generally dense, provide the fastest path for sound waves, while gases with low density and elasticity provide the slowest speed.

Factors affecting the speed of sound

Temperature

The speed of sound in air increases as the temperature increases. Higher temperatures cause air molecules to move more quickly, speeding up the propagation of sound waves.

Pressure and humidity

Although pressure has little effect on the speed of sound in air, high humidity (more water vapor in the air) can increase the speed of sound, because water vapor is less dense than dry air.

Applications in daily life

Understanding the speed of sound has practical applications, such as in ultrasound imaging used in medical examinations. Ultrasound equipment uses sound waves that travel much faster through tissues and fluids than through air to create images of the inside of the body.

In engineering, knowing how sound travels through different materials helps design buildings and vehicles to effectively control noise.

Conclusion

The speed of sound depends on the medium it travels through. By exploring the principles of density and elasticity, we gain insight into why sound moves the way it does through air, water, and solids. This knowledge not only enriches our understanding of sound and waves, but also plays a vital role in technological advancements and everyday applications.


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