Final answer:
The wavelength of a wave with a speed of 160 m/s and a period of 3.7 ms is calculated using the formula λ = vT. After converting the period to seconds, the wavelength is determined to be 0.592 m or 592 mm.
Step-by-step explanation:
The question is about calculating the wavelength of a wave given its speed and period. The formula to calculate the wavelength (λ) of a wave is λ = vT, where v is the speed of the wave and T is the period of the wave. In this example, the wave has a speed (v) of 160 m/s and a period (T) of 3.7 ms (which is 3.7 × 10-3 seconds).
To calculate the wavelength, first convert the period from milliseconds to seconds by dividing by 1000. Thus, T = 3.7 ms = 3.7 × 10-3 s. Now, we can use the formula λ = vT = (160 m/s) × (3.7 × 10-3 s) to get the wavelength. Therefore, the wavelength λ = 0.592 m or 592 mm.