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 21 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 2.🪝 A winch has a wheel of radius 10 cm and an axle of radius 5 cm. What effort on the wheel lifts a 400 N bucket on the axle, in newtons? (ideal)
- 3.🪝 A well winch has a handle (wheel) of radius 5 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 4.🪝 More rope sections holding a load means … (a) no change (b) less effort needed (c) the load floats (d) more effort needed
- 5.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a fixed pulley (b) a movable pulley
- 6.True or false: a movable pulley halves the effort. (a) True (b) False
- 7.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 10 m, how many metres of rope must you pull?
- 8.🪝 A wheel and axle is a big wheel fixed to … (a) a sharp wedge (b) a smaller rod (axle) (c) a loose rope (d) a flat ramp
- 9.🪝 A pulley system lifts an 800 N load with an effort of 200 N. What is its mechanical advantage (MA)?
- 10.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 11.🪝 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)
- 12.🪝 A winch has a wheel of radius 5 cm and an axle of radius 1 cm. What effort on the wheel lifts a 100 N bucket on the axle, in newtons? (ideal)
- 13.🪝 A pulley system lifts a 720 N load with an effort of 240 N. What is its mechanical advantage (MA)?
- 14.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 15.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 16.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 17.🪝 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?
- 18.🪝 A bucket weighing 200 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.🪝 A pulley system lifts a 180 N load with an effort of 60 N. What is its mechanical advantage (MA)?
- 20.🪝 A load of 180 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 21.True or false: a movable pulley makes you pull 2× rope. (a) False (b) True
- 22.🪝 A pulley system lifts a 400 N load with an effort of 200 N. What is its mechanical advantage (MA)?
- 23.🪝 A winch has a wheel of radius 20 cm and an axle of radius 5 cm. What effort on the wheel lifts a 120 N bucket on the axle, in newtons? (ideal)
- 24.🪝 A winch has a wheel of radius 21 cm and an axle of radius 3 cm. What effort on the wheel lifts a 1330 N bucket on the axle, in newtons? (ideal)
- 25.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 26.True or false: a fixed pulley rises with the load. (a) True (b) False
- 27.True or false: a movable pulley stays in one place. (a) True (b) False
- 28.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 29.🪝 A load of 540 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 30.🪝 A winch has a wheel of radius 35 cm and an axle of radius 5 cm. What effort on the wheel lifts a 210 N bucket on the axle, in newtons? (ideal)
- 31.True or false: a fixed pulley stays in one place. (a) True (b) False
- 32.🪝 A well winch has a handle (wheel) of radius 18 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 33.🪝 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)
- 34.True or false: a movable pulley only changes direction. (a) True (b) False
- 35.🪝 What does a single fixed pulley change? (a) the colour of rope (b) the size of the load (c) gravity (d) the direction of pull
- 36.🪝 A well winch has a handle (wheel) of radius 9 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 37.🪝 A winch has a wheel of radius 16 cm and an axle of radius 2 cm. What effort on the wheel lifts an 880 N bucket on the axle, in newtons? (ideal)
- 38.🪝 A bucket weighing 320 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 39.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 40.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
Answer key
- 7
- 200
- 5
- less effort needed
- a fixed pulley
- True
- 40
- a smaller rod (axle)
- 4
- 6
- 290
- 20
- 3
- a fixed pulley
- a movable pulley
- a movable pulley
- 7
- 200
- 3
- 60
- True
- 2
- 30
- 190
- False
- False
- False
- a movable pulley
- 270
- 30
- True
- 6
- 250
- False
- the direction of pull
- 3
- 110
- 320
- a movable pulley
- a fixed pulley
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