# physics

A horizontal pipe 17.00 cm in diameter has a smooth reduction to a pipe 8.50 cm in diameter. If the pressure of the water in the larger pipe is 8.00 104 Pa and the pressure in the smaller pipe is 6.00 104 Pa, at what rate does water flow through the pipes?

1. 👍 0
2. 👎 0
3. 👁 136
1. Use bernoulli's equation
p+ρV²+ρgh=constant
for each of the sections.
p=pressure
ρ=density
V=velocity
The ρgh term can be neglected if the pipe is horizontal.

The continuity equation gives
A1V1=A2V2, where
V1, V2, A1 and A2 are the velocities and cross sectional areas of the corresponding sections.

So we have two unknowns V1 and V2, and two equations
p1+ρV1²=p2+ρV2² ...(1)
V1*A1=V2*A2 ....(2)

Solve for V1 and V2.

1. 👍 0
2. 👎 0
2. how do i convert the answer to kg/s

1. 👍 0
2. 👎 0
posted by flame
3. Flow is given by the product of the water velocity (m/s) and cross sectional area (m²), multiplied by the density ρ (1000 kg/m³).
or,
Q=A1*V1*ρ

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Physics

Please someone help..A horizontal pipe 10.0cm in diameter has a smooth reduction to a pipe 5.0cm in diameter. If the pressure of the water in the large pipe is 80000Pa and the pressure in the small pipe is 60000Pa at what rate

asked by Waim Mathew on June 15, 2017
2. ### physics

A horizontal pipe (Venturi Tube) 10.0 cm in diameter has a smooth reduction to a pipe 5.00 cm in diameter. If the pressure of the water in the larger pipe is 2.0 x 105 Pa and the pressure in the smaller pipe is 5.0 x 104 Pa, at

asked by Anonymous on May 30, 2016
3. ### physics

A horizontal pipe (Venturi Tube) 10.0 cm in diameter has a smooth reduction to a pipe 5.00 cm in diameter. If the pressure of the water in the larger pipe is 8.0 x 105 Pa and the pressure in the smaller pipe is 3.0 x 104 Pa, at

asked by Anonymous on May 31, 2016
4. ### physics

A horizontal pipe 17.00 cm in diameter has a smooth reduction to a pipe 8.50 cm in diameter. If the pressure of the water in the larger pipe is 8.00 104 Pa and the pressure in the smaller pipe is 6.00 104 Pa, at what rate does

asked by flame on September 27, 2010
5. ### Physics

A horizontal pipe, 10 cm in diameter, has a smooth reduction to a pipe 5 cm in diameter. If the pressure of the water in the larger pipe is 8.00 104 Pa and the pressure in the smaller pipe is 6.00 104 Pa, what is the flow speed of

asked by David P. on January 17, 2013
6. ### physics

A horizontal pipe of diameter 0.845 m has a smooth constriction to a section of diameter 0.507 m. The density of oil flowing in the pipe is 821 kg/m3 . If the pressure in the pipe is 8350 N/m2 and in the constricted section is

asked by ryan on June 17, 2011
7. ### algebra

A pipe manufacturer makes pipes of four different sizes. The diameter of each pipe is two times the diameter of the pipe of the next smaller size. The diameter of the biggest pipe is 16 centimeters. What is the diameter of the

asked by cv on October 21, 2013
8. ### algebra

A pipe manufacturer makes pipes of four different sizes. The diameter of each pipe is two times the diameter of the pipe of the next smaller size. The diameter of the biggest pipe is 16 centimeters. What is the diameter of the

asked by Anonymous on October 21, 2013
9. ### physics

Water flows through a 4.0-cm-diameter horizontal pipe at a speed of 1.3m/s . The pipe then narrows down to a diameter of 2.0cm . Ignoring viscosity, what is the pressure difference between the wide and narrow sections of the pipe?

asked by Dr.B on March 23, 2018
10. ### Physics

A horizontal water pipe goes from a large diameter to a small diameter and then back to the first diameter as shown in the figure below. The level of water (8cm in the larger tube and 4 cm in the constricted tube) in the small

asked by Anna on December 4, 2015

More Similar Questions