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Chapter 14: Problem 13

Why can a boat easily produce a shock wave on the water surface, while only a very high-speed aircraft can produce a sonic boom?

Short Answer

Expert verified
A boat can easily produce a shock wave on the water surface because it's easier to exceed the relatively slow speed of water waves. On the other hand, producing a sonic boom requires exceeding the high speed of sound in air, attainable only by high-speed aircraft.

Step by step solution

01

Understand wave speed

Firstly, understand that the speed of a wave depends on the medium in which it travels. Water waves and sound waves travel at different speeds. Speed of water waves (ripple waves) is typically much slower than speed of sound waves in air. For instance, a motor boat easily exceeds the speed of water waves, thus producing a wake or shock wave.
02

Sonic wave generation

To generate a sonic boom, aircraft has to travel faster than the speed of sound in air. Sound travels at around 343 m/s in air, which is over 1234 km/h, a relatively high speed. Only high-speed aircrafts can attain these speeds and create a sonic boom.
03

Comparing both situations

Comparing both situations, it's easier for a boat to exceed the speed of water waves and create a shock wave. However, for an aircraft to create a sonic boom, it has to attain a much higher velocity, exceeding the speed of sound in air. Therefore, a boat can easily produce a shock wave while only a high-speed aircraft can produce a sonic boom.

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