K A Tsokos Solutions for Chapter: Energy Production, Exercise 1: Test yourself

Calculate the blade radius of a wind turbine that must extract $25 \mathrm{kW}$ of power out of wind speed $9 {\mathrm{ms}}^{-1}$. The density of air is $1.2 \mathrm{kg} {\mathrm{m}}^{-3}$. State any assumptions made in this calculation.

Find the power developed when water in a waterfall with a flow rate of $500 {\mathrm{kgs}}^{-!}$falls from a height of $40 \mathrm{m}$ The density of water-$1000 \mathrm{kg}/{\mathrm{m}}^3$

Water falls from a vertical height  $\mathrm{h}$ at a flow rate (volume per second) $\mathrm{Q}$. Deduce the maximum theoretical power that can be extracted is given by,

$\mathrm{P}=\mathrm{\rho Qgh}$

A student explaining pump storage systems says that the water that is stored at a high elevation is allowed to movelowe, thus producing electricity. Some of this electricity is used to raise the water back to its original height, and the process is then repeated, What is wrong with this statement?

Make an annotated energy flow diagram showing the energy changes that are taking place in a conventional electricity producing power station using coal

Make an annotated energy flow diagram showing the energy changes that are taking place in a hydroelectric power plant.

Make an annotated energy flow diagram showing the energy changes that are taking place in a electricity-producing wind turbine.

Make an annotated energy flow diagram showing the energy changes that are taking place in an electricity producing nuclear power plant