Flow rate/ Bernoulli's equation

In summary, the conversation discusses the flow rate of water through a garden hose and the associated cross sectional areas of the hose and nozzle. The student asks for help in determining the flow speeds through the spigot and nozzle based on their respective heights, as well as the pressure difference between the two points. The responder suggests using Bernoulli's equation to solve for the unknowns.
  • #1
creamypies
1
0
ap physics student, on this for the first time

The flow rate of water through a garden hose is 60 cm3/s, and the hose and nozzle have cross sectional areas of 5.1 cm2 and 1.6 cm2 respectively.

(a) If the nozzle is held 11 cm above the spigot, what are the flow speeds through the spigot and the nozzle?
spigot
cm/s

nozzle
cm/s

(b) What is the pressure difference between these points? (Consider the water to be an ideal fluid.)
Pa

I think that it is bernoulli's but I could be wrong
 
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  • #2
welcome to pf!

hi creamypies! welcome to pf! :smile:

(try using the X2 icon just above the Reply box :wink:)
creamypies said:
I think that it is bernoulli's but I could be wrong

Yup, (a) is geometry, and (b) is https://www.physicsforums.com/library.php?do=view_item&itemid=115" (for which you need the speeds from (a)) …

what do you get? :smile:​
 
Last edited by a moderator:

1. How is flow rate related to Bernoulli's equation?

Flow rate is directly related to Bernoulli's equation, which states that as the velocity of a fluid increases, its pressure decreases. This means that as the flow rate of a fluid increases, the pressure decreases, and vice versa.

2. What is the formula for calculating flow rate?

The formula for calculating flow rate is Q = A * V, where Q is the flow rate, A is the cross-sectional area of the pipe or channel, and V is the velocity of the fluid.

3. How does the shape of a pipe affect flow rate?

The shape of a pipe can affect flow rate in several ways. A wider pipe will have a higher flow rate because it has a larger cross-sectional area, allowing more fluid to pass through. Additionally, a smoother pipe will have a higher flow rate as it creates less resistance for the fluid to flow through.

4. Can Bernoulli's equation be applied to all types of fluids?

Bernoulli's equation can be applied to all types of fluids, as long as the fluid is incompressible and there is no energy lost due to friction or other factors. This includes liquids and gases, as long as they are not highly compressed or rarefied.

5. How does Bernoulli's equation apply to real-world situations?

Bernoulli's equation has many practical applications in real-world situations. It is used in the design of aircraft wings, where the shape of the wing is designed to create different velocities and pressures on the top and bottom surfaces, creating lift. It is also used in the design of water fountains and sprinkler systems, where the velocity of the water is used to create different spray patterns. Additionally, Bernoulli's equation is used in industries such as oil and gas, where it is used to calculate the flow rate of fluids through pipelines.

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