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 wheel and axle is a big wheel fixed to … (a) a smaller rod (axle) (b) a loose rope (c) a flat ramp (d) a sharp wedge
- 2.🪝 A load of 200 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 3.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 10 m, how many metres of rope must you pull?
- 4.🪝 A winch has a wheel of radius 32 cm and an axle of radius 4 cm. What effort on the wheel lifts a 160 N bucket on the axle, in newtons? (ideal)
- 5.True or false: a fixed pulley rises with the load. (a) False (b) True
- 6.🪝 A pulley system lifts a 320 N load with an effort of 160 N. What is its mechanical advantage (MA)?
- 7.🪝 A winch has a wheel of radius 32 cm and an axle of radius 4 cm. What effort on the wheel lifts an 800 N bucket on the axle, in newtons? (ideal)
- 8.🪝 A bucket weighing 190 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 9.🪝 A bucket weighing 100 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 10.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 11.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 12.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 13.🪝 A winch has a wheel of radius 7 cm and an axle of radius 1 cm. What effort on the wheel lifts a 420 N bucket on the axle, in newtons? (ideal)
- 14.True or false: a fixed pulley halves the effort. (a) False (b) True
- 15.🪝 More rope sections holding a load means … (a) more effort needed (b) the load floats (c) no change (d) less effort needed
- 16.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 360 N bucket on the axle, in newtons? (ideal)
- 17.🪝 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)
- 18.🪝 A well winch has a handle (wheel) of radius 3 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 19.🪝 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)
- 20.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 21.🪝 A load of 80 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 22.🪝 A winch has a wheel of radius 12 cm and an axle of radius 2 cm. What effort on the wheel lifts a 900 N bucket on the axle, in newtons? (ideal)
- 23.True or false: a movable pulley rises with the load. (a) True (b) False
- 24.🪝 A bucket weighing 90 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 21 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 26.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 27.🪝 A well winch has a handle (wheel) of radius 28 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 28.True or false: a fixed pulley stays in one place. (a) True (b) False
- 29.🪝 A winch has a wheel of radius 9 cm and an axle of radius 3 cm. What effort on the wheel lifts a 330 N bucket on the axle, in newtons? (ideal)
- 30.🪝 What does a single fixed pulley change? (a) gravity (b) the colour of rope (c) the direction of pull (d) the size of the load
- 31.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 32.True or false: a movable pulley stays in one place. (a) False (b) True
- 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.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 35.🪝 A winch has a wheel of radius 15 cm and an axle of radius 5 cm. What effort on the wheel lifts a 540 N bucket on the axle, in newtons? (ideal)
- 36.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 37.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 38.True or false: a movable pulley is on a flagpole top. (a) True (b) False
- 39.🪝 A pulley system lifts a 760 N load with an effort of 190 N. What is its mechanical advantage (MA)?
- 40.🪝 A load of 500 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
- a smaller rod (axle)
- 50
- 20
- 20
- False
- 2
- 100
- 190
- 100
- a movable pulley
- a fixed pulley
- 4
- 60
- False
- less effort needed
- 180
- 90
- 3
- 60
- False
- 40
- 150
- True
- 90
- 7
- 4
- 7
- True
- 110
- the direction of pull
- 12
- False
- 250
- a movable pulley
- 180
- 20
- a fixed pulley
- False
- 4
- 250
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