Question

a formula for determining the mean free path for sound, or the average distance a wave travels in a room, is determined by dividing four times the volume (v) by the surface area (s) of the space. see the following formula in which mean free path is expressed as μ. μ = \frac{4v}{s} solve the above formula for s when μ = 6.3 and v = 3,773 square feet. (you do not need to include the unit label. only enter the number value for an answer. round to the nearest hundredth if necessary.) review the linked section of the prealgebra textbook for problem help

Explanation:

Step1: Substitute the given values into the formula

Given \(\mu = 6.3\) and \(V = 3773\), substitute into \(\mu=\frac{4V}{S}\). So, \(6.3=\frac{4\times3773}{S}\).

Step2: Solve for \(S\)

First, calculate \(4\times3773 = 15092\). Then the equation becomes \(6.3=\frac{15092}{S}\). Cross - multiply: \(6.3S=15092\). Divide both sides by \(6.3\): \(S=\frac{15092}{6.3}\).

Step3: Calculate the value of \(S\)

\(S=\frac{15092}{6.3}\approx2395.56\)

Answer:

\(2395.56\)