A 572-Hz longitudinal wave in air has a speed of 345 m/s. What is the wavelength?

검증된 단계별 안내

Identify the relationship between the speed of a wave, its frequency, and its wavelength. The formula is:

v = f λ

, where

v

is the wave speed,

f

is the frequency, and

λ

is the wavelength.

Rearrange the formula to solve for the wavelength

λ

λ = \frac{v}{f}

Substitute the given values into the formula. The wave speed

v

is 345 m/s, and the frequency

f

is 572 Hz.

Perform the division to calculate the wavelength:

λ = \frac{345}{572}

. Ensure the units are consistent, with speed in meters per second and frequency in hertz.

The result of the division will give the wavelength

λ

in meters, which represents the distance between successive compressions or rarefactions in the longitudinal wave.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

도움이 되었나요?

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Wave Speed

Wave speed is the distance a wave travels per unit of time. In the context of sound waves, it is determined by the medium through which the wave is traveling. For air at room temperature, the speed of sound is approximately 345 m/s, which is crucial for calculating other wave properties.

Frequency

Frequency is the number of cycles of a wave that pass a point in one second, measured in hertz (Hz). In this question, the frequency of the longitudinal wave is given as 572 Hz, indicating that 572 cycles occur every second. Frequency is directly related to the energy of the wave and is essential for determining its wavelength.

Wavelength

Wavelength is the distance between successive crests (or troughs) of a wave. It can be calculated using the formula: wavelength = speed / frequency. In this case, knowing the speed of the wave (345 m/s) and its frequency (572 Hz) allows us to find the wavelength, which is a fundamental property of the wave.