Fluids using Bernoullis principle

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
2 replies · 1K views
clergy
Messages
1
Reaction score
0
New poster has been reminded to always show their work on homework questions
Homework Statement
1. A reservoir is held in a valley behind a dam. The valley is 200m wide, and the reservoir extends 2.4km upstream (with a constant width).
In winter, the entire surface of the reservoir is covered by a 30cm thick sheet of ice. The density of ice is 920kg/m3.
A pipe through the dam releases water to drive a generator. The pipe is 8m below the surface of the reservoir. (12)
i. How fast does the water leave the pipe in summer?
ii. How fast does the water leave the pipe in winter?
Relevant Equations
Bernoullis Equation
Please help!
 
Physics news on Phys.org
clergy said:
Problem Statement: 1. A reservoir is held in a valley behind a dam. The valley is 200m wide, and the reservoir extends 2.4km upstream (with a constant width).
In winter, the entire surface of the reservoir is covered by a 30cm thick sheet of ice. The density of ice is 920kg/m3.
A pipe through the dam releases water to drive a generator. The pipe is 8m below the surface of the reservoir. (12)
i. How fast does the water leave the pipe in summer?
ii. How fast does the water leave the pipe in winter?
Relevant Equations: Bernoullis Equation

Please help!
Please show some attempt at part i, per forum rules.
For part ii, you are probably supposed to assume that the top of the ice is flush with the top of the dam wall, i.e. at exactly the same height as the water surface in summer. However, I suspect that in practice the ice would rise above the top of the dam, leading to the same weight in both.