Water flow speed through a pipe

AI Thread Summary
Water flows through a 1.3 cm diameter pipe, filling a 295 L bathtub in 5 minutes, leading to a volumetric flow rate of 59 L/min. To find the linear speed of the water, the volumetric flow rate must be converted to cubic meters. The relationship between volumetric flow rate, linear speed, and cross-sectional area of the pipe is essential for the calculation. The correct units for velocity need to be used, indicating that the linear speed is likely around 5 cm/sec. Accurate unit conversion is crucial for determining the speed of water in the pipe.
Capncanada
Messages
52
Reaction score
0

Homework Statement



Water flows through a 1.3 cm diameter pipe into a 295 L bathtub, which it fills in 5 min.

What is the speed of the water in the pipe?

Homework Equations



V_in=v_L*t*A_L (Equation I got in my class lecture, I think its a variation of bernoulli's.)

The Attempt at a Solution



Solved for v_L in that equation, but that's not correct.
 
Physics news on Phys.org
Did you check your units? You are given liters, cm, and minutes. What units are used for velocity?
 
Clearly, the speed of the water in the pipe was
\frac{295\ \ell}{5\ min} = 59\ \ell/min

But, I'm guessing you're looking for linear speed, not volumetric speed? (something along the line of 5 cm/sec, for instance).
 
Actually 59 l/min is the volumetric flow rate which will equal velocity * cross sectional area of pipe. To make the units turn out correctly you will need to convert liters to cubic meters
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Poiseuille equation for water flow rate
Replies
16
Views
2K
How Does Bernoulli's Principle Apply to Varying Pipe Diameters and Water Flow?
Replies
3
Views
2K
How does water affect resonance in organ pipes?
Replies
10
Views
2K
Bernoulli equation for calculation of water flow
Replies
30
Views
3K
Water level rise in a tank, continuous flow in, high exit
Replies
11
Views
3K
How does opening multiple valves affect the water flow through pipes?
Replies
5
Views
2K
Solve Bernoulli's Equation for Water Height Rise
Replies
14
Views
2K
Can Water Flow in Multiple Directions in a Network of Pipes?
Replies
15
Views
2K
Calculate the rate of potential energy loss of water in a pipe
Replies
2
Views
2K
Water Flow in Pipe: Velocity & Height Calculation
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top