Question

what is the speed of a wave that has a frequency of 173 hz and a wavelength of 2.59 meters? express your answer to the nearest whole number.

Explanation:

Step1: Recall the wave - speed formula

The formula for the speed of a wave is \(v = f\lambda\), where \(v\) is the speed, \(f\) is the frequency, and \(\lambda\) is the wavelength.

Step2: Substitute the given values

Given \(f = 173\space Hz\) and \(\lambda=2.59\space m\). Substitute into the formula: \(v=(173)(2.59)\).

Step3: Calculate the product

\(v = 173\times2.59=173\times(2 + 0.5+0.09)=173\times2+173\times0.5 + 173\times0.09=346+86.5+15.57 = 448.07\).

Step4: Round to the nearest whole number

Rounding \(448.07\) to the nearest whole number gives \(448\).

Answer:

\(448\)