Question

Sound waves can be ranked by their intensity, I, given in the formula below, where r is the distance from the source of a sound with a power output of P. Solve the formula for the distance from the source, r.

Answer 1

Answer:

r=$\frac{1}{2}$ $\sqrt{\frac{P}{\pi I} }$

Step-by-step explanation:

Power output has a formula : P=4πIr²

To solve formula for the distance from source, r . We first begin with:

P=4πIr²

we just need the value of r, so:

4πIr² = P

Cross multiply 4πI

r² = $\frac{P}{4 \pi I}$

Now taking square root, we get :

r = $\sqrt{\frac{P}{4\pi I} }$

r =$\frac{1}{2}$ $\sqrt{\frac{P}{\pi I} }$

which is the distance 'r' from the source of a sound with power output of P