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 t…

Question

asked Jun 4, 2020 169k views

2 Answers

SebastianH · Answer 1 · 2020-06-10T11:42:54+0000

Answer:

r=
(1)/(2)
$\sqrt{(P)/(\pi I) }$

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 =
$(P)/(4 \pi I)$

Now taking square root, we get :

r =
$\sqrt{(P)/(4\pi I) }$

r =
(1)/(2)
$\sqrt{(P)/(\pi I) }$

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