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 30 cm and an axle of radius 5 cm. What effort on the wheel lifts a 180 N bucket on the axle, in newtons? (ideal)
- 2.🪝 A bucket weighing 250 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 pulley system has 2 rope sections holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 4.🪝 A wheel and axle is a big wheel fixed to … (a) a flat ramp (b) a loose rope (c) a sharp wedge (d) a smaller rod (axle)
- 5.🪝 More rope sections holding a load means … (a) no change (b) less effort needed (c) the load floats (d) more effort needed
- 6.True or false: a fixed pulley halves the effort. (a) False (b) True
- 7.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 8.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 9.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 10.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 11.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 12.True or false: a fixed pulley only changes direction. (a) True (b) False
- 13.🪝 What does a single fixed pulley change? (a) the size of the load (b) gravity (c) the colour of rope (d) the direction of pull
- 14.🪝 A bucket weighing 130 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 15.🪝 A pulley system lifts a 160 N load with an effort of 40 N. What is its mechanical advantage (MA)?
- 16.🪝 A bucket weighing 430 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 17.🪝 A winch has a wheel of radius 25 cm and an axle of radius 5 cm. What effort on the wheel lifts a 100 N bucket on the axle, in newtons? (ideal)
- 18.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 19.True or false: a fixed pulley rises with the load. (a) False (b) True
- 20.🪝 A bucket weighing 150 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 21.🪝 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)
- 22.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 23.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 24.🪝 A well winch has a handle (wheel) of radius 40 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 25.🪝 A pulley system lifts a 60 N load with an effort of 20 N. What is its mechanical advantage (MA)?
- 26.🪝 A pulley system lifts an 810 N load with an effort of 270 N. What is its mechanical advantage (MA)?
- 27.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 28.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 29.🪝 A pulley system lifts a 480 N load with an effort of 160 N. What is its mechanical advantage (MA)?
- 30.🪝 A well winch has a handle (wheel) of radius 35 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 31.🪝 A well winch has a handle (wheel) of radius 20 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 32.🪝 A well winch has a handle (wheel) of radius 24 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 33.🪝 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)
- 34.🪝 A bucket weighing 300 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 35.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 36.🪝 A load of 160 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 37.🪝 A pulley system lifts a 240 N load with an effort of 80 N. What is its mechanical advantage (MA)?
- 38.True or false: a movable pulley hangs on the rope loop. (a) False (b) True
- 39.True or false: a movable pulley makes you pull 2× rope. (a) True (b) False
- 40.🪝 A load of 400 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
Answer key
- 30
- 250
- 2
- a smaller rod (axle)
- less effort needed
- False
- 4
- 2
- True
- a movable pulley
- a movable pulley
- True
- the direction of pull
- 130
- 4
- 430
- 20
- a fixed pulley
- False
- 150
- 290
- 21
- 16
- 8
- 3
- 3
- a fixed pulley
- 3
- 3
- 7
- 5
- 6
- 170
- 300
- 2
- 80
- 3
- True
- True
- 200
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