Final answer:
To calculate the wavelength of a 227 Hz sound when the speed of sound is 340 m/s, use the speed of sound formula, resulting in a wavelength of approximately 1.498 meters.
Step-by-step explanation:
To find the wavelength of a sound with a frequency of 227 Hz when the speed of sound in air is 340 m/s, we use the formula for the speed of sound: v = f \lambda, where v is the speed of sound, f is the frequency, and \lambda (lambda) is the wavelength. We can rearrange this formula to solve for wavelength: \lambda = v/f.
Substituting the given values into the formula:
\lambda = 340 m/s / 227 Hz = 1.498 m
Therefore, the wavelength of a sound wave with a frequency of 227 Hz is approximately 1.498 meters.