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 winch has a wheel of radius 24 cm and an axle of radius 3 cm. What effort on the wheel lifts a 1520 N bucket on the axle, in newtons? (ideal)
- 2.🪝 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)
- 3.🪝 A winch has a wheel of radius 28 cm and an axle of radius 4 cm. What effort on the wheel lifts a 770 N bucket on the axle, in newtons? (ideal)
- 4.🪝 A bucket weighing 280 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 5.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 6.🪝 What does a single fixed pulley change? (a) gravity (b) the direction of pull (c) the size of the load (d) the colour of rope
- 7.🪝 A load of 640 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 8.🪝 A wheel and axle is a big wheel fixed to … (a) a sharp wedge (b) a smaller rod (axle) (c) a flat ramp (d) a loose rope
- 9.🪝 A winch has a wheel of radius 30 cm and an axle of radius 5 cm. What effort on the wheel lifts a 120 N bucket on the axle, in newtons? (ideal)
- 10.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 11.🪝 More rope sections holding a load means … (a) less effort needed (b) no change (c) the load floats (d) more effort needed
- 12.🪝 A pulley system lifts a 90 N load with an effort of 30 N. What is its mechanical advantage (MA)?
- 13.🪝 A load of 360 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 14.True or false: a movable pulley only changes direction. (a) True (b) False
- 15.🪝 A winch has a wheel of radius 7 cm and an axle of radius 1 cm. What effort on the wheel lifts a 1400 N bucket on the axle, in newtons? (ideal)
- 16.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 17.🪝 A winch has a wheel of radius 35 cm and an axle of radius 5 cm. What effort on the wheel lifts a 1190 N bucket on the axle, in newtons? (ideal)
- 18.🪝 A bucket weighing 290 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 19.True or false: a fixed pulley only changes direction. (a) True (b) False
- 20.🪝 A well winch has a handle (wheel) of radius 16 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 21.🪝 A winch has a wheel of radius 6 cm and an axle of radius 3 cm. What effort on the wheel lifts a 100 N bucket on the axle, in newtons? (ideal)
- 22.🪝 A winch has a wheel of radius 8 cm and an axle of radius 1 cm. What effort on the wheel lifts an 800 N bucket on the axle, in newtons? (ideal)
- 23.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 24.🪝 A bucket weighing 400 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 25.🪝 A pulley system lifts a 160 N load with an effort of 80 N. What is its mechanical advantage (MA)?
- 26.True or false: a fixed pulley stays in one place. (a) False (b) True
- 27.🪝 A pulley system lifts an 800 N load with an effort of 200 N. What is its mechanical advantage (MA)?
- 28.🪝 A winch has a wheel of radius 7 cm and an axle of radius 1 cm. What effort on the wheel lifts an 840 N bucket on the axle, in newtons? (ideal)
- 29.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 30.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 31.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 32.🪝 A load of 600 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 33.🪝 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)
- 34.🪝 A well winch has a handle (wheel) of radius 3 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 35.🪝 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)
- 36.True or false: a fixed pulley halves the effort. (a) True (b) False
- 37.🪝 A pulley system lifts a 500 N load with an effort of 250 N. What is its mechanical advantage (MA)?
- 38.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 39.🪝 A pulley system lifts a 440 N load with an effort of 110 N. What is its mechanical advantage (MA)?
- 40.🪝 A bucket weighing 380 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
Answer key
- 190
- 60
- 110
- 280
- a fixed pulley
- the direction of pull
- 160
- a smaller rod (axle)
- 20
- 7
- less effort needed
- 3
- 90
- False
- 200
- a movable pulley
- 170
- 290
- True
- 4
- 50
- 100
- a movable pulley
- 400
- 2
- True
- 4
- 120
- 16
- a fixed pulley
- True
- 150
- 240
- 3
- 270
- False
- 2
- 5
- 4
- 380
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