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 9 cm and an axle of radius 3 cm. What effort on the wheel lifts a 60 N bucket on the axle, in newtons? (ideal)
- 2.True or false: a movable pulley rises with the load. (a) False (b) True
- 3.🪝 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)
- 4.🪝 A winch has a wheel of radius 24 cm and an axle of radius 3 cm. What effort on the wheel lifts a 960 N bucket on the axle, in newtons? (ideal)
- 5.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 6.🪝 What does a single fixed pulley change? (a) the colour of rope (b) gravity (c) the size of the load (d) the direction of pull
- 7.🪝 A winch has a wheel of radius 35 cm and an axle of radius 5 cm. What effort on the wheel lifts a 1120 N bucket on the axle, in newtons? (ideal)
- 8.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 9.🪝 A pulley system lifts a 120 N load with an effort of 60 N. What is its mechanical advantage (MA)?
- 10.🪝 A load of 1120 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 11.🪝 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)
- 12.True or false: a movable pulley only changes direction. (a) True (b) False
- 13.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 14.🪝 A winch has a wheel of radius 16 cm and an axle of radius 4 cm. What effort on the wheel lifts a 680 N bucket on the axle, in newtons? (ideal)
- 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 10 cm and an axle of radius 5 cm. What effort on the wheel lifts an 80 N bucket on the axle, in newtons? (ideal)
- 17.True or false: a fixed pulley stays in one place. (a) True (b) False
- 18.🪝 A well winch has a handle (wheel) of radius 14 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 19.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 2 m, how many metres of rope must you pull?
- 20.🪝 A winch has a wheel of radius 7 cm and an axle of radius 1 cm. What effort on the wheel lifts a 700 N bucket on the axle, in newtons? (ideal)
- 21.🪝 A winch has a wheel of radius 24 cm and an axle of radius 3 cm. What effort on the wheel lifts a 1440 N bucket on the axle, in newtons? (ideal)
- 22.True or false: a movable pulley is on a flagpole top. (a) False (b) True
- 23.🪝 A wheel and axle is a big wheel fixed to … (a) a sharp wedge (b) a loose rope (c) a smaller rod (axle) (d) a flat ramp
- 24.🪝 A well winch has a handle (wheel) of radius 9 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 25.🪝 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?
- 26.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 27.🪝 A bucket weighing 370 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 28.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 29.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 30.True or false: a fixed pulley needs effort = load. (a) False (b) True
- 31.🪝 A pulley system lifts a 360 N load with an effort of 120 N. What is its mechanical advantage (MA)?
- 32.True or false: a fixed pulley halves the effort. (a) False (b) True
- 33.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 34.🪝 A pulley system lifts a 160 N load with an effort of 40 N. What is its mechanical advantage (MA)?
- 35.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 36.True or false: a movable pulley hangs on the rope loop. (a) False (b) True
- 37.True or false: a movable pulley stays in one place. (a) True (b) False
- 38.🪝 A pulley system lifts a 100 N load with an effort of 50 N. What is its mechanical advantage (MA)?
- 39.🪝 A winch has a wheel of radius 32 cm and an axle of radius 4 cm. What effort on the wheel lifts a 1200 N bucket on the axle, in newtons? (ideal)
- 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
- 20
- True
- 100
- 120
- a movable pulley
- the direction of pull
- 160
- 8
- 2
- 280
- 160
- False
- a movable pulley
- 170
- less effort needed
- 40
- True
- 7
- 6
- 100
- 180
- False
- a smaller rod (axle)
- 3
- 20
- 6
- 370
- a fixed pulley
- a fixed pulley
- True
- 3
- False
- a fixed pulley
- 4
- a movable pulley
- True
- False
- 2
- 150
- 200
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