Increasing efficiency reduces unwanted transfers
Definition
Efficiency
Efficiency is the ratio of useful energy transferred by a device to the total energy supplied to it.
- Efficiency rises when a larger fraction of the same input reaches the intended useful store.
- For a fixed input, Etotal=Euseful+EdissipatedE_{\text{total}}=E_{\text{useful}}+E_{\text{dissipated}}Etotal=Euseful+Edissipated, so reducing dissipation increases useful output.
Reduce friction and resistance
- Lubricating bearings and gears reduces friction, so less energy enters thermal stores and more reaches the kinetic output.
- Ball bearings, smooth surfaces and aligned parts can reduce rubbing and deformation.
- Lower-resistance conductors and secure electrical connections reduce unwanted heating by current.
Reduce drag and unwanted vibration
- Streamlining reduces air resistance, so less energy is transferred to the thermal stores of the air and vehicle.
- Reducing unnecessary vibration limits transfers as sound and heating.
- A method improves efficiency only when it reduces an output that is unwanted for the device's intended purpose.
Example
- A motor receives 1000 J1000\ \text{J}1000 J and initially transfers 650 J650\ \text{J}650 J usefully.
- ηbefore=6501000=65%\eta_{\text{before}}=\frac{650}{1000}=65\%ηbefore=1000650=65%
- After lubrication, only 200 J200\ \text{J}200 J is dissipated, so 800 J800\ \text{J}800 J is useful.
- ηafter=8001000=80%\eta_{\text{after}}=\frac{800}{1000}=80\%ηafter=1000800=80%
Insulation improves heating systems
- Insulation around a hot-water tank reduces transfer to the surroundings, leaving more energy in the water's thermal store.
- A lid reduces convection and evaporation, so less energy is required to heat the contents.
- Loft insulation, cavity-wall insulation, double glazing and draught proofing reduce transfers from buildings.
- Insulation is not always helpful because refrigerators and computers need controlled heat removal.
Key Idea
Match the improvement to the unwanted pathway: friction, resistance, drag, sound or thermal transfer.
Improvements have limits
- No real process reaches 100%100\%100% efficiency because some unwanted transfers are unavoidable.
- An improvement may add mass, cost, maintenance or manufacturing impacts.
- Extra insulation gives progressively smaller savings once transfer through that part is already low.
Exam technique
- Name the change, identify the unwanted transfer it reduces, then state that a greater fraction of the input is useful.
- Do not write only that less energy is wasted; identify the destination or mechanism.
Judge changes from evidence
- Compare devices under the same operating conditions and for the same useful task.
- A measured efficiency increase should match a reduction in unwanted output or an increase in useful output.
Common Mistake
- Do not claim total energy use falls unless the useful task and operating conditions are fixed.
- Useful energy depends on purpose.
- Do not remove friction where grip or braking is useful.
Self review
- How does lubrication increase motor efficiency?
- Why can streamlining increase efficiency?
- How does insulation improve a hot-water system?
- Why can no real device exceed 100%100\%100% efficiency?