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.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 2.🪝 A well winch has a handle (wheel) of radius 7 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 3.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 4.🪝 A load of 120 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 5.True or false: a movable pulley makes you pull 2× rope. (a) False (b) True
- 6.🪝 A bucket weighing 360 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 7.True or false: a fixed pulley stays in one place. (a) True (b) False
- 8.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 9.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 10.🪝 A bucket weighing 350 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.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 12.🪝 A bucket weighing 30 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 13.🪝 A winch has a wheel of radius 8 cm and an axle of radius 2 cm. What effort on the wheel lifts a 120 N bucket on the axle, in newtons? (ideal)
- 14.🪝 A pulley system lifts a 120 N load with an effort of 40 N. What is its mechanical advantage (MA)?
- 15.🪝 A winch has a wheel of radius 12 cm and an axle of radius 4 cm. What effort on the wheel lifts a 210 N bucket on the axle, in newtons? (ideal)
- 16.🪝 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)
- 17.🪝 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
- 18.🪝 A load of 100 N hangs from a pulley system in which 2 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.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 21.🪝 A load of 90 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 22.🪝 A bucket weighing 140 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 23.🪝 A wheel and axle is a big wheel fixed to … (a) a flat ramp (b) a sharp wedge (c) a smaller rod (axle) (d) a loose rope
- 24.🪝 A load of 960 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 25.🪝 A winch has a wheel of radius 12 cm and an axle of radius 4 cm. What effort on the wheel lifts a 450 N bucket on the axle, in newtons? (ideal)
- 26.🪝 A well winch has a handle (wheel) of radius 15 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 27.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 28.🪝 A winch has a wheel of radius 4 cm and an axle of radius 1 cm. What effort on the wheel lifts a 120 N bucket on the axle, in newtons? (ideal)
- 29.True or false: a movable pulley halves the effort. (a) False (b) True
- 30.🪝 A bucket weighing 330 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 31.🪝 A well winch has a handle (wheel) of radius 30 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 32.🪝 A pulley system lifts an 840 N load with an effort of 280 N. What is its mechanical advantage (MA)?
- 33.🪝 A load of 600 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 34.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 35.True or false: a movable pulley stays in one place. (a) False (b) True
- 36.🪝 A bucket weighing 260 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 37.🪝 A bucket weighing 160 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 38.🪝 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?
- 39.🪝 More rope sections holding a load means … (a) less effort needed (b) no change (c) the load floats (d) more effort needed
- 40.🪝 A well winch has a handle (wheel) of radius 25 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
Answer key
- False
- 7
- 5
- 40
- True
- 360
- True
- a fixed pulley
- a fixed pulley
- 350
- a fixed pulley
- 30
- 30
- 3
- 70
- 80
- the direction of pull
- 50
- False
- False
- 30
- 140
- a smaller rod (axle)
- 240
- 150
- 3
- 4
- 30
- True
- 330
- 6
- 3
- 300
- a movable pulley
- False
- 260
- 160
- 15
- less effort needed
- 5
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