Height of Block on U-Tube: Calculations & Results

  • Thread starter Thread starter dorian_stokes
  • Start date Start date
  • Tags Tags
    Height U-tube
AI Thread Summary
The discussion revolves around calculating the height difference in a U-tube containing two fluids of different densities, with a block of mass 20 g resting on one side. The fluids have densities of 1090 kg/m3 and 595 kg/m3, and the cross-sectional area of the tube is 4.7 x 10^-4 m2. The total height of the fluid column is given as 20 cm. The problem requires determining the height offset (h) between the two sides of the U-tube. The right side, having the greater density, plays a crucial role in the calculations.
dorian_stokes
Messages
24
Reaction score
0

Homework Statement



A block of mass 20 g sits at rest on a plate that is at the top of the fluid on one side of a U-tube as shown below. The U-tube contains two different fluids with densities ρ1 = 1090 kg/m3 and ρ2 = 595 kg/m3 and has a cross sectional area A = 4.7 10-4 m2. The surfaces are offset by an amount h as shown.


Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
What is required in the problem? There is no figure.
 
It's asking for height in m. The right side has the greater density. The total height was 20cm.
 
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