Question

If you use spray-on deodorant, you can find out how fast it comes out of the can if you know the relative pressure inside the can. Supposing a full can of deodorant has an exit velocity (v) of 72 feet per second, use the formula below to find the relative pressure inside the can (p) in psi (pounds per square inch): A.8 psiB.76 psiC.36 psiD.64 psi

Answer 1

Given: A formula for exit velocity

`v=9√(p)`

where v is the exit velocity and p is the relative pressure in psi.

Required: To find the relative pressure for an exit velocity of 72 feet per second.

Explanation: Putting the value of v=72 feet per second in the given formula we get,

`72=9√(p)`

or

`\begin{gathered} √(p)=(72)/(9) \\ =8 \end{gathered}`

Now squaring both sides gives the value of p as

`p=64\text{ psi}`

Final Answer: Option D is correct.