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7.2.5 Ways to increase efficiency

Routes to a higher efficiency

Definition

Efficiency

The fraction of the input energy transfer that is transferred usefully.

  1. Efficiency is the fraction of the input energy that is transferred usefully, so increasing it means making a greater fraction of the input reach the useful store.
  2. Every method starts by finding the process that dissipates the energy, such as friction, air resistance, electrical resistance or unwanted heating, and then tackling that process.
  3. Reducing wasted transfers: if less energy is dissipated, more of the same input reaches the useful store.
  4. Recovering wasted energy: if energy that would have been dissipated is captured and put to use, it becomes part of the useful output.
  5. Choosing a better device: if a different design produces the same useful output from a smaller input, the fraction that is useful goes up.
  6. None of these methods creates energy, because the total is still conserved, and they only change how much of it ends up in a useful store.
  7. No method can raise the efficiency to 100%100\%100%, because some energy is always dissipated in any real transfer.

Reducing friction and air resistance

Definition

Streamlining

Shaping an object so that air or water flows smoothly around it, which reduces the drag force acting on it.

  1. Wherever parts of a machine rub together, work is done against friction, and energy is transferred to the thermal energy stores of the parts instead of to the useful store.
  2. Bearings and wheels: ball bearings let parts roll over one another instead of sliding, and rolling produces far less friction than sliding.
    1. This is why ball bearings are fitted in bicycle wheel hubs, skateboard wheels, electric fans and car gearboxes.
  3. Maintenance: worn, rusty or badly aligned parts rub harder against each other, so servicing a machine and replacing worn parts keeps friction low.
  4. Streamlining: a smooth, tapered shape lets air flow around a vehicle with less disturbance, so the vehicle does less work against air resistance at the same speed.
    1. Less energy is dissipated to the kinetic and thermal energy stores of the air, so a greater fraction of the energy from the fuel or battery keeps the vehicle moving.
    2. Examples include the pointed nose of a high-speed train, the curved deflector on the cab of a lorry and a cyclist crouching low over the handlebars.
  5. Tyre pressure: a tyre inflated to the correct pressure squashes less as it rolls, so less energy is dissipated in the rubber and the car needs less fuel to cover the same distance.

Reducing electrical waste

  1. Whenever there is a current in a wire, its resistance transfers part of the energy to the thermal energy store of the wire.
  2. Low-resistance cables: thick copper cables have a lower resistance than thin ones, so less energy is dissipated in heating them when a current flows.
  3. Better motors: motors built with thicker, low-resistance coils and well-made bearings waste less energy, so more of their input reaches the kinetic energy store of the moving part.
  4. Better lamps: an LED lamp gives the same amount of light as a 60 W60\ \text{W}60 W filament lamp while taking in only about 10 W10\ \text{W}10 W, because far less of its input is transferred by heating.
  5. Replacing an old appliance with a more efficient model is often the simplest way to increase efficiency, because the improvement is built into its design.

Recovering wasted energy

Definition

Regenerative braking

A braking system that transfers energy from a vehicle's kinetic energy store into the chemical energy store of its battery instead of dissipating it through friction.

  1. In an ordinary car, braking dissipates the kinetic energy store of the car through friction in the brakes.
  2. In an electric or hybrid car, regenerative braking uses the motor as a generator while the car slows down, so energy is transferred from the kinetic energy store of the car to the chemical energy store of its battery.
  3. That stored energy is used again when the car speeds up, so less input energy is needed for the whole journey.
  4. A combined heat and power station pipes the hot water left over from generating electricity to heat nearby homes and buildings, so energy that would have been dissipated into the air does a useful job.
  5. A condensing boiler passes its hot exhaust gases over the cold water returning from the radiators, so energy that would have escaped through the flue warms the water instead.
Example

Effect of reducing friction

  • A conveyor belt motor receives an input of 800 J800\ \text{J}800 J and transfers 480 J480\ \text{J}480 J usefully, so 320 J320\ \text{J}320 J is wasted.
efficiency=480800=0.60 \text{efficiency} = \frac{480}{800} = 0.60 efficiency=800480​=0.60
  • After its worn bearings are replaced, 80 J80\ \text{J}80 J less is wasted by friction, so the useful output rises to 560 J560\ \text{J}560 J for the same input.
efficiency=560800=0.70 \text{efficiency} = \frac{560}{800} = 0.70 efficiency=800560​=0.70
  • Reducing the wasted energy has raised the efficiency from 60%60\%60% to 70%70\%70% without any change to the input.
Example

Effect of a better device

  • A filament lamp and an LED lamp both transfer 3 J3\ \text{J}3 J of energy by light every second.
  • The filament lamp needs an input of 60 J60\ \text{J}60 J every second to do this:
efficiency=360=0.05 \text{efficiency} = \frac{3}{60} = 0.05 efficiency=603​=0.05
  • The LED lamp needs an input of only 10 J10\ \text{J}10 J every second for the same light:
efficiency=310=0.30 \text{efficiency} = \frac{3}{10} = 0.30 efficiency=103​=0.30
  • The useful output is identical, but the smaller input makes the LED lamp six times as efficient.
Note

Lubrication and insulation

Other ways of reducing wasted energy you should know include lubrication and thermal insulation, which are explained in detail in Reducing unwanted energy transfers.

Common Mistake
  • Do not write that a more efficient device creates more energy or gives out more energy than it receives, because the useful output can never be larger than the input.
  • Do not stop at naming a method such as streamlining, because a description must also say which wasted transfer it reduces.
  • Do not confuse increasing efficiency with using a device less, because efficiency is about the fraction of the input that is useful, not the total energy used.
Exam technique

Describing ways to increase efficiency

  • Name the method, then name the wasted transfer it targets, such as friction in a machine or air resistance on a vehicle.
  • Finish by linking the change to efficiency, for example by saying that less energy is dissipated, so a greater fraction of the input is transferred usefully.
  • If a question gives figures, show the efficiency before and after the change, because a calculated comparison is far more convincing than a statement.
Self review
  • State three general ways in which the efficiency of a device can be increased.
  • Explain how streamlining increases the efficiency of a lorry.
  • Explain why an LED lamp is more efficient than a filament lamp that gives the same light.
  • Describe how regenerative braking reduces the energy needed for a journey.
  • Explain why no method can make a device 100%100\%100% efficient.
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7.2.5 Ways to increase efficiency Revision Guide

  1. GCSE
  2. /Physics
  3. /7.2.5 Ways to increase efficiency

Revision notes for OCR GCSE Physics 7.2.5 Ways to increase efficiency: explanations and worked examples.

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