Scuba Diver Bubble: Diameter at Surface?

AI Thread Summary
A scuba diver's air bubble with a diameter of 1 cm at a depth of 18 m will change in size as it ascends to the surface. The discussion revolves around calculating the bubble's diameter using hydrostatic pressure principles. Participants clarify that the pressure can be determined using the formula p = density * height of liquid, and suggest using p = po + density*g*h for accurate results. Ultimately, the correct diameter at the surface is found to be 1.4 cm. The conversation highlights the importance of understanding pressure changes in relation to depth when analyzing bubble behavior.
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.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top