Renewable & Non-Renewable Resources

Every device you use — your phone, your school's heating system, the bus that brought you here — runs on energy drawn from some resource. Energy resources are broadly split into two categories: renewable resources, which are replenished by natural processes on a human timescale (sunlight, wind, moving water, geothermal heat), and non-renewable resources, which took millions of years to form and are consumed far faster than nature can replace them (coal, oil, natural gas, and to a lesser extent uranium). Understanding this distinction is fundamental both to physics and to the policy decisions that will shape your lifetime. Fossil fuels — coal, oil, and natural gas — store chemical potential energy that was originally captured by photosynthesis hundreds of millions of years ago and then concentrated underground by geological processes. Burning them releases that energy rapidly, but also releases carbon dioxide and other greenhouse gases. Nuclear fission extracts energy from the nuclei of heavy atoms such as uranium-235; it produces no direct CO₂ but generates radioactive waste that must be managed for thousands of years. Both are finite on any civilisation's timescale. Renewable sources — solar photovoltaic panels, wind turbines, hydroelectric dams, tidal barrages, and geothermal plants — convert ongoing natural energy flows into electricity or heat. Their 'fuel' is free and inexhaustible, but they are often intermittent (the sun does not always shine, the wind does not always blow), which creates challenges for grid management. A modern energy-literate citizen needs to weigh efficiency, cost, reliability, and environmental impact for each source.

Key takeaways
  • What Makes a Resource 'Renewable'?
  • Fossil Fuels: Stored Sunlight at a Price
  • Nuclear Fission: High Density, Long-Lived Waste
  • Wind and Solar: Intermittent but Scalable
  • Environmental Impact and the Concept of Energy Payback

What Makes a Resource 'Renewable'?

A resource is renewable if it is replenished by natural processes at a rate comparable to, or faster than, human consumption. Solar radiation delivers about 1.74 × 10¹⁷ W to Earth continuously — far exceeding global human power demand of roughly 2 × 10¹³ W. Wind is driven by solar heating of the atmosphere, so it too is effectively inexhaustible. By contrast, oil fields refill on geological timescales of tens of millions of years, making them non-renewable in any practical sense.

Fossil Fuels: Stored Sunlight at a Price

Coal, oil, and natural gas are high-energy-density fuels. The specific energy of crude oil is approximately 44 MJ kg⁻¹, making it extraordinarily convenient for transport. However, combustion converts carbon-based molecules into CO₂ and H₂O. The extra CO₂ in the atmosphere enhances the greenhouse effect, driving climate change. Additionally, particulate emissions from coal combustion cause respiratory disease. These external costs are real physical and societal consequences that do not appear on a fuel pump price.

Nuclear Fission: High Density, Long-Lived Waste

Nuclear fission splits a heavy nucleus (e.g. ²³⁵U) into smaller fragments, releasing energy via E = mc². The energy density is enormous: 1 kg of uranium-235 can theoretically yield about 8.2 × 10¹³ J — roughly two million times the energy in 1 kg of coal. A modern pressurised-water reactor converts this heat into electricity at around 33% efficiency. The drawback is long-lived radioactive waste (some isotopes have half-lives of thousands of years) and the risks associated with reactor accidents, though statistically nuclear power has one of the lowest death rates per TWh generated.

Wind and Solar: Intermittent but Scalable

A wind turbine converts kinetic energy of moving air into electrical energy. The power available from wind is proportional to the cube of wind speed: P = ½ρAv³, where ρ is air density, A is the swept area of the blades, and v is wind speed. Doubling wind speed gives eight times the power — a hugely non-linear relationship. Solar photovoltaic (PV) cells convert photons into electricity via the photoelectric effect; current commercial panels achieve 20–24% efficiency. Neither source produces greenhouse gases during operation, though manufacturing panels and turbines has some carbon footprint.

Environmental Impact and the Concept of Energy Payback

Every energy technology has an environmental cost. The 'energy payback time' is how long a device (e.g. a solar panel) must operate before it has generated as much energy as was used to manufacture it. Modern silicon PV panels have an energy payback of 1–3 years against a 25-year operational life — a very favourable ratio. Fossil fuel power stations never 'pay back' their carbon debt because combustion is the entire point. Life-cycle analysis (LCA) is the scientific method used to compare technologies fairly, accounting for all stages from raw material extraction to decommissioning.

The Key Equation

Pwind=12ρAv3P_{wind} = \frac{1}{2}\rho A v^{3}
  • P_{wind} — Wind power (W (watts)): The rate at which kinetic energy passes through the rotor disc; this is the theoretical maximum, not what the turbine actually converts.
  • \rho — Air density (kg m⁻³): Typically about 1.23 kg m⁻³ at sea level and 15 °C. Denser air (cold, low altitude) carries more energy.
  • A — Swept area (m²): The circular area swept by the turbine blades: A = πr², where r is the blade length. Larger blades capture vastly more power.
  • v — Wind speed (m s⁻¹): The cube relationship makes wind speed the most critical variable — small increases in speed yield large increases in available power.

Worked Example

Problem. A wind turbine has blades of length 40 m. On a day when the wind speed is 12 m s⁻¹ and air density is 1.2 kg m⁻³, calculate (a) the power available in the wind passing through the rotor, and (b) the electrical power output if the turbine operates at 35% efficiency.

Pelec=0.35×12(1.2)(5027)(123)≈1.83 MWP_{elec} = 0.35 \times \frac{1}{2}(1.2)(5027)(12^{3}) \approx 1.83 \text{ MW}

Answer. The wind delivers approximately 5.22 MW through the rotor; the turbine outputs about 1.83 MW of electrical power.

Figure
Diagram
Energy Resources ComparisonFossilFuelsNuclearFissionWindPowerSolarPVRenewable?NoNo*YesYesCO₂ emitted?HighNoneNoneNoneEnergy densityHighVery highLowLowReliable supply?YesYesVariableVariableKey wasteCO₂, SO₂RadioactiveNonePanel mfg.*Uranium is finite but produces zero operational CO₂RenewableNon-renewableSolar (renewable)
Origins · 1 minJames Watt and how this was discovered
JW
James Watt
1736–1819 · Scottish

James Watt's improvements to the steam engine in the 1760s–1780s transformed the burning of coal into practical mechanical work with dramatically greater efficiency. His separate condenser design roughly tripled fuel efficiency compared to earlier Newcomen engines. Watt also introduced the concept of 'horsepower' as a unit of power and worked with Matthew Boulton to commercialise steam technology, directly launching the fossil-fuel-powered Industrial Revolution. The SI unit of power — the watt (W) — is named in his honour, ensuring his name appears in every energy calculation students make. Watt reputedly became interested in steam power as a child by watching a kettle lid lift and fall rhythmically — though historians regard this story as largely legend invented to make him seem more romantic.

  • Work and Energy — Energy resources are only meaningful in the context of how energy is defined, stored, and transferred — the foundational ideas of work and energy underpin every comparison of fuels and generators.
  • Efficiency of Energy Transfer — No power station converts 100% of its input energy to useful output; calculating and comparing efficiencies is central to evaluating whether a resource is worth exploiting.
  • Power — Power (the rate of energy transfer, measured in watts) is the key quantity used to rate wind turbines, nuclear plants, and solar installations, making it inseparable from any resource comparison.
  • Kinetic and Potential Energy — Wind power exploits kinetic energy of moving air; hydroelectric power uses gravitational potential energy of water — both forms appear directly in the analysis of renewable resources.