Motion and levers
- Four types of motion: rotary (turning in a circle), linear (in a straight line), reciprocating (backwards and forwards in a line) and oscillating (swinging back and forth in an arc).
- A lever turns about a pivot (fulcrum). First class: the fulcrum is between the effort and the load (a crowbar). Second class: the load is between (a wheelbarrow). Third class: the effort is between (tweezers).
- Moment = force × perpendicular distance from the pivot. In balance, clockwise moments = anticlockwise moments. An effort of 50 N at 2 m balances a load of 200 N at 0.5 m.
- Mechanical advantage = load ÷ effort. Lifting 200 N with 50 N gives a mechanical advantage of 4.
Gears
- Gear ratio = number of teeth on the driven gear ÷ number of teeth on the driver gear. A 20-tooth driver turning a 60-tooth driven gear gives a ratio of 3.
- Output speed = input speed ÷ gear ratio. With a ratio of 3, 300 rpm in gives 100 rpm out, but with three times the turning force (torque).
- Meshing gears turn in opposite directions; an idler gear between them makes the output turn the same way as the input.
- Compound gear trains multiply ratios. A worm and wheel gives a large reduction: a single-start worm with a 40-tooth wheel gives a ratio of 40. A rack and pinion changes rotary motion to linear motion.
Other mechanisms
- Pulleys and belts transfer rotary motion between shafts; the ratio uses pulley diameters. Chains and sprockets don't slip.
- Cams and followers change rotary motion into reciprocating motion. Cranks and sliders convert between rotary and reciprocating, as in an engine.
- Bearings reduce friction on rotating shafts, and lubrication reduces wear.
Key terms
- Rotary motion
- Turning in a circle.
- Reciprocating motion
- Moving backwards and forwards in a straight line.
- Oscillating motion
- Swinging back and forth in an arc.
- Fulcrum
- The pivot point of a lever.
- Moment
- Force multiplied by the perpendicular distance from the pivot.
- Mechanical advantage
- Load divided by effort.
- Gear ratio
- Driven teeth divided by driver teeth.
- Idler gear
- A gear that makes the output turn the same way as the input.