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 3 cm and an axle of radius 1 cm. What effort on the wheel lifts a 390 N bucket on the axle, in newtons? (ideal)
- 2.True or false: a fixed pulley stays in one place. (a) False (b) True
- 3.🪝 A winch has a wheel of radius 6 cm and an axle of radius 1 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 4.🪝 A winch has a wheel of radius 30 cm and an axle of radius 5 cm. What effort on the wheel lifts a 1200 N bucket on the axle, in newtons? (ideal)
- 5.🪝 A winch has a wheel of radius 12 cm and an axle of radius 2 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 6.🪝 More rope sections holding a load means … (a) the load floats (b) less effort needed (c) no change (d) more effort needed
- 7.🪝 A load of 570 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 8.🪝 A pulley system lifts a 660 N load with an effort of 220 N. What is its mechanical advantage (MA)?
- 9.True or false: a movable pulley rises with the load. (a) True (b) False
- 10.🪝 A wheel and axle is a big wheel fixed to … (a) a flat ramp (b) a loose rope (c) a smaller rod (axle) (d) a sharp wedge
- 11.🪝 A winch has a wheel of radius 10 cm and an axle of radius 5 cm. What effort on the wheel lifts a 140 N bucket on the axle, in newtons? (ideal)
- 12.🪝 A winch has a wheel of radius 10 cm and an axle of radius 2 cm. What effort on the wheel lifts a 350 N bucket on the axle, in newtons? (ideal)
- 13.🪝 A load of 240 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 14.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 15.🪝 A bucket weighing 20 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 4 cm and an axle of radius 2 cm. What effort on the wheel lifts a 380 N bucket on the axle, in newtons? (ideal)
- 17.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 18.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 19.True or false: a fixed pulley makes you pull 2× rope. (a) False (b) True
- 20.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 21.True or false: a fixed pulley halves the effort. (a) True (b) False
- 22.🪝 A well winch has a handle (wheel) of radius 3 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 23.🪝 A winch has a wheel of radius 9 cm and an axle of radius 3 cm. What effort on the wheel lifts a 390 N bucket on the axle, in newtons? (ideal)
- 24.🪝 A bucket weighing 70 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 well winch has a handle (wheel) of radius 24 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 26.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 27.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 28.True or false: a fixed pulley is on a flagpole top. (a) False (b) True
- 29.True or false: a fixed pulley rises with the load. (a) False (b) True
- 30.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 31.🪝 A bucket weighing 120 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 32.🪝 A well winch has a handle (wheel) of radius 28 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 33.🪝 What does a single fixed pulley change? (a) the direction of pull (b) gravity (c) the size of the load (d) the colour of rope
- 34.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 35.🪝 A winch has a wheel of radius 32 cm and an axle of radius 4 cm. What effort on the wheel lifts a 1360 N bucket on the axle, in newtons? (ideal)
- 36.🪝 A winch has a wheel of radius 30 cm and an axle of radius 5 cm. What effort on the wheel lifts a 600 N bucket on the axle, in newtons? (ideal)
- 37.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 38.True or false: a movable pulley only changes direction. (a) True (b) False
- 39.🪝 A winch has a wheel of radius 12 cm and an axle of radius 2 cm. What effort on the wheel lifts a 180 N bucket on the axle, in newtons? (ideal)
- 40.🪝 A winch has a wheel of radius 6 cm and an axle of radius 2 cm. What effort on the wheel lifts a 300 N bucket on the axle, in newtons? (ideal)
Answer key
- 130
- True
- 40
- 200
- 40
- less effort needed
- 190
- 3
- True
- a smaller rod (axle)
- 70
- 70
- 80
- a fixed pulley
- 20
- 190
- 15
- a movable pulley
- False
- 1
- False
- 3
- 130
- 70
- 8
- 3
- a fixed pulley
- True
- False
- False
- 120
- 7
- the direction of pull
- a fixed pulley
- 170
- 100
- a movable pulley
- False
- 30
- 100
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