Solving Flow Rate Through Pipes with Pressure Difference

AI Thread Summary
To solve for the flow rate of water through a horizontal pipe with varying diameters, the areas of the pipes are calculated using A = π(r)^2, resulting in 78.5 cm² for the larger pipe and 19.6 cm² for the smaller pipe. The forces in each section are determined using F = PA, yielding 6.28x10^6 N for the larger pipe and 1.18x10^6 N for the smaller. The discussion suggests using Bernoulli's equation, P1 + 1/2 * ρ * V1² = P2 + 1/2 * ρ * V2², along with the continuity equation A1V1 = A2V2 to find the velocities V1 and V2. The user expresses uncertainty about which kinematic equation to apply for velocity calculations. The conversation emphasizes the application of fluid dynamics principles to determine flow rates in pipes.
Husker70
Messages
89
Reaction score
0

Homework Statement


A horizontal pipe 10.0cm in diameter has a smooth reduction to a pipe
5.00cm in diameter. If the pressure of the water in the larger pipe is
8.00x10^4Pa and the pressure in the smaller pipe is 6.00x10^4Pa, at
what rate does water flow through the pipes?

Homework Equations


A = pie(r)^2
Kinematics equation to find velocity
A1V1 = A2V2
F=PA

The Attempt at a Solution


I got areas first
A = pie(5.00cm)^2 = 78.5cm^2
A = pie(2.50cm)^2 = 19.6cm^2

Then I found F using F=PA
F = (8.00x10^4Pa)(78.5cm^2) = 6.28x10^6N
F = (6.00x10^4Pa)(19.6cm^2) = 1.18x10^6N

I'm not sure what kinematics equation to use to find velocity
Thanks,
Kevin
 
Physics news on Phys.org
Using Bernoulli's equation you can wright P1+1/2*p*V1^2 = P2 + 1/2*p*V2^2
By using the equation A1V1 = A2V2 you can solve for V1 and V2
 
I'll try it thanks
 

Thread 'Errors and significant figures'

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...
View full post »
Thread 'A cylinder connected to a hanging mass'

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...
View full post »

Similar threads

Poiseuille equation for water flow rate
Replies
16
Views
2K
What is the relationship between pressure and flow rate?
Replies
8
Views
4K
Effect of pressure due to change in diameter of pipe
Replies
9
Views
2K
Flow rate of air through constriction
Replies
10
Views
3K
Calculating Oil Flow Rate in Cast Iron Pipe
Replies
5
Views
1K
I Shouldn't the pressure difference along a pipe be a negative number?
Replies
8
Views
1K
Pressure and Flow Rate in a Tank
Replies
10
Views
3K
Calculate the rate of potential energy loss of water in a pipe
Replies
2
Views
2K
Finding height of buffer regions and viscous sublayer turbulent flow
Replies
4
Views
2K
Bernoulli's equation to find the flow rate
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top