Labo Élec

electrical lab simulator
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Exercise from the chapter "Power, energy, efficiency"

Waterfall, turbine and generator

Level 3 of 5 · Skills: Calculate

Statement

A turbine driving a generator is powered by a 12 m waterfall with a flow of 24 m³/min. The efficiencies of the turbine and the generator are 0.8 and 0.87.

Compute the electrical power delivered by the generator, in kW. (1 m³ of water = 1,000 kg; g = 9.81 N/kg)

h = 12 m · qv = 24 m³/min · ηt = 0.8 · ηg = 0.87

Parametric exercise: the values change with every draw; these are one example.

Guided problem in 4 steps: unknown, formula, units, data, result.

1 hint from Bastaya available in the lab
Solution

Every minute, 24 × 1,000 kg fall 12 m: P₁ = 24 × 1,000 × 9.81 × 12 / 60 = 47.09 kW; P₂ = ηt · P₁ = 37.67 kW; P₃ = ηg · P₂ = 32.77 kW.

Course sheet of the chapter : Power, energy, efficiency

This chapter is covered by the paths: General electricity, ISL-oriented exercises

Other exercises of the chapter

Simulated time00:00:00
Q = I·t-
W = P·t-

Workbench

Circuit diagram CEI 60617

How does it work?

The perfboard: each big hole is a circuit node. You push a single leg of a component (resistor, lamp...) into it. The 4 small holes around it are connected to it: that is where chips and leads plug in.

  1. Drag a component onto the board: it snaps onto the grid. R rotates it.
  2. To join neighbouring big holes, click Jumper chip in the palette (or C) then drag on the board: a line of chips is laid at once. Bridged holes become a single node.
  3. For long links and for the power supply (placed next to the board), drag a lead from one big hole to another (or to a terminal).
  4. As soon as a loop is closed, the circuit is solved in real time (Ohm + Kirchhoff) and the diagram follows.
  5. Zoom with the wheel (or + / −, two-finger pinch); drag the background to pan, 0 fits the board. The + buttons around the board add a row or a column.

Del delete · R rotate · C chip brush · Esc cancel · wheel zoom · drag the background to pan

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