Scuba Diver Bubble: Diameter at Surface?

Click For Summary
SUMMARY

A spherical air bubble originating from a scuba diver at a depth of 18 m with a diameter of 1 cm will expand to a diameter of 1.4 cm upon reaching the surface, assuming constant temperature. The calculation involves hydrostatic pressure, defined by the formula p = po + density * g * h, where po is atmospheric pressure, density is the water's density, g is the acceleration due to gravity, and h is the depth. The discussion emphasizes the importance of understanding pressure conversion in relation to depth in water.

PREREQUISITES
  • Understanding of hydrostatic pressure principles
  • Knowledge of the ideal gas law
  • Familiarity with basic physics concepts related to buoyancy
  • Ability to perform calculations involving density and pressure
NEXT STEPS
  • Study the ideal gas law and its applications in scuba diving
  • Learn about the effects of pressure on gas volume in fluids
  • Research hydrostatic pressure calculations in different fluid densities
  • Explore the relationship between depth and pressure in various aquatic environments
USEFUL FOR

Scuba divers, physics students, and anyone interested in understanding the behavior of gases under pressure in aquatic environments.

pkossak
Messages
52
Reaction score
0
A spherical air bubble originating from a scuba diver at a depth of 18 m has a
diameter of 1 cm. What will the bubble's diameter be when it reaches the
surface? (Assume constant temp)
a. 0.7 cm b. 1 cm c. 1.4 cm d. 1.7 cm

I know this problem shouldn't be all that difficult, but I'm not sure how to convert the depth into pressure. I would think they would say whether or not the water was sea water, so I was wondering if there was another way to figure this out other than through using density. Maybe I am over analyzing and that part was simply left out, but I just wanted to be sure. Thanks again help.
 
Physics news on Phys.org
yes i believe you are making it harder than it really is.

hydrostatic pressure is defined by

p = density * height of liquid

try this and see if it helps
 
Thanks for the help. I ended up using p = po + density*g*h and got the answer I was looking for.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
3K
Replies
15
Views
3K
Replies
2
Views
3K
  • · Replies 25 ·
Replies
25
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
9
Views
5K
  • · Replies 33 ·
2
Replies
33
Views
10K
Replies
1
Views
7K
Replies
2
Views
3K
  • · Replies 16 ·
Replies
16
Views
3K