Pulleys and Wheel and Axle Worksheet
Engineer's tip (Count the ropes): Fixed pulley: changes direction, effort = load. Pulley system: effort = load ÷ supporting rope sections; rope pulled = lift height × that number. Wheel and axle: MA = wheel radius ÷ axle radius; effort = load ÷ MA.
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- 1.🪝 A well winch has a handle (wheel) of radius 20 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 2.🪝 A well winch has a handle (wheel) of radius 3 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 3.🪝 What does a single fixed pulley change? (a) the size of the load (b) the colour of rope (c) the direction of pull (d) gravity
- 4.🪝 A pulley system lifts a 630 N load with an effort of 210 N. What is its mechanical advantage (MA)?
- 5.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 6.🪝 A pulley system lifts a 100 N load with an effort of 50 N. What is its mechanical advantage (MA)?
- 7.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 8.🪝 A pulley system lifts a 560 N load with an effort of 280 N. What is its mechanical advantage (MA)?
- 9.🪝 A wheel and axle is a big wheel fixed to … (a) a loose rope (b) a sharp wedge (c) a smaller rod (axle) (d) a flat ramp
- 10.🪝 A bucket weighing 270 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 11.True or false: a movable pulley only changes direction. (a) True (b) False
- 12.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 13.🪝 A winch has a wheel of radius 20 cm and an axle of radius 4 cm. What effort on the wheel lifts a 250 N bucket on the axle, in newtons? (ideal)
- 14.🪝 A load of 720 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 15.🪝 A bucket weighing 60 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 16.🪝 A winch has a wheel of radius 6 cm and an axle of radius 1 cm. What effort on the wheel lifts a 1140 N bucket on the axle, in newtons? (ideal)
- 17.🪝 A bucket weighing 220 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 18.🪝 A load of 510 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 19.True or false: a fixed pulley rises with the load. (a) True (b) False
- 20.🪝 More rope sections holding a load means … (a) more effort needed (b) no change (c) the load floats (d) less effort needed
- 21.🪝 A bucket weighing 240 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 22.True or false: a movable pulley halves the effort. (a) True (b) False
- 23.🪝 A winch has a wheel of radius 6 cm and an axle of radius 2 cm. What effort on the wheel lifts a 480 N bucket on the axle, in newtons? (ideal)
- 24.True or false: a movable pulley needs effort = load. (a) True (b) False
- 25.🪝 A load of 120 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 26.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 27.🪝 A winch has a wheel of radius 25 cm and an axle of radius 5 cm. What effort on the wheel lifts a 250 N bucket on the axle, in newtons? (ideal)
- 28.🪝 A winch has a wheel of radius 5 cm and an axle of radius 1 cm. What effort on the wheel lifts a 300 N bucket on the axle, in newtons? (ideal)
- 29.True or false: a fixed pulley needs effort = load. (a) False (b) True
- 30.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 31.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 32.🪝 A winch has a wheel of radius 7 cm and an axle of radius 1 cm. What effort on the wheel lifts a 1190 N bucket on the axle, in newtons? (ideal)
- 33.🪝 A winch has a wheel of radius 16 cm and an axle of radius 4 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 34.True or false: a movable pulley stays in one place. (a) True (b) False
- 35.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 36.🪝 A pulley system lifts a 120 N load with an effort of 30 N. What is its mechanical advantage (MA)?
- 37.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 38.True or false: a fixed pulley halves the effort. (a) False (b) True
- 39.🪝 A bucket weighing 390 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 40.🪝 A well winch has a handle (wheel) of radius 24 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
Answer key
- 5
- 3
- the direction of pull
- 3
- 20
- 2
- a fixed pulley
- 2
- a smaller rod (axle)
- 270
- False
- a fixed pulley
- 50
- 180
- 60
- 190
- 220
- 170
- False
- less effort needed
- 240
- True
- 160
- False
- 60
- a fixed pulley
- 50
- 60
- True
- 4
- False
- 170
- 60
- False
- a movable pulley
- 4
- 12
- False
- 390
- 6
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