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 56 feet per second, use the formula below to find the relative pressure inside the can (p) in psi (pounds per square inch) : v = 8√p

Question

Physics

Kody Callahan

6 July, 15:24

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 56 feet per second, use the formula below to find the relative pressure inside the can (p) in psi (pounds per square inch) : v = 8√p

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Answers (2)

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Lyla Hunter · Answer 1

Answer: 49 psi

Explanation:

From the question, we're given that

velocity of the deodorants, v = 56 ft/s

And also given

v = 8√p

Then,

If we square both sides, we have something like this

v² = 8² (√p) ², if we rearrange, making p the subject of the formula,

p = v²/64, remember

v = 56 ft/sec, so if we substitute the value of v in the formula

p = (56) ²/64

p = 3136 / 64

p = 49 psi

Therefore, the relative pressure inside the can is 49 psi