A pipe contains water at 500,000 Pa above atmospheric pressure. If you patch a 4.00 mm diameter hole in the pipe with a piece of bubble gum, how much force must the gum be able to withstand?

Question

Rayna Howell

Physics

16 April, 23:00

A pipe contains water at 500,000 Pa above atmospheric pressure. If you patch a 4.00 mm diameter hole in the pipe with a piece of bubble gum, how much force must the gum be able to withstand?

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Answers (1)

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Nevaeh Clarke · Answer 1

Answer: 6.284N

Explanation:

Pressure is the ratio of force exerted to cross sectional area of the material.

Pressure = Force/Area

Pressure = 500,000Pa

Area = Πd²/4 where d is the diameter of the hole.

If d = 4mm = 0.004m

Area = Π*0.004²/4

Area = 1.26*10^-5m²

Force = Pressure*Area

Force = 500,000 * 1.26*10^-5

F = 6.284N

The gum must be able to withstand 6.284N force