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 pulley system lifts a 780 N load with an effort of 260 N. What is its mechanical advantage (MA)?
- 2.🪝 A load of 60 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 3.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a fixed pulley (b) a movable pulley
- 4.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 5.🪝 A winch has a wheel of radius 4 cm and an axle of radius 1 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 6.🪝 A pulley system lifts a 1160 N load with an effort of 290 N. What is its mechanical advantage (MA)?
- 7.True or false: a movable pulley rises with the load. (a) True (b) False
- 8.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 9.🪝 A winch has a wheel of radius 5 cm and an axle of radius 1 cm. What effort on the wheel lifts a 550 N bucket on the axle, in newtons? (ideal)
- 10.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 11.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 12.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 13.🪝 A winch has a wheel of radius 14 cm and an axle of radius 2 cm. What effort on the wheel lifts a 1050 N bucket on the axle, in newtons? (ideal)
- 14.True or false: a movable pulley is on a flagpole top. (a) True (b) False
- 15.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 16.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 17.🪝 A pulley system lifts a 390 N load with an effort of 130 N. What is its mechanical advantage (MA)?
- 18.🪝 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
- 19.True or false: a movable pulley stays in one place. (a) False (b) True
- 20.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 21.🪝 A winch has a wheel of radius 16 cm and an axle of radius 2 cm. What effort on the wheel lifts a 1440 N bucket on the axle, in newtons? (ideal)
- 22.🪝 A pulley system lifts a 240 N load with an effort of 60 N. What is its mechanical advantage (MA)?
- 23.🪝 A load of 450 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 24.True or false: a fixed pulley rises with the load. (a) False (b) True
- 25.🪝 A pulley system lifts an 880 N load with an effort of 220 N. What is its mechanical advantage (MA)?
- 26.🪝 A well winch has a handle (wheel) of radius 28 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 27.🪝 A well winch has a handle (wheel) of radius 9 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 28.🪝 A load of 240 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 29.🪝 A well winch has a handle (wheel) of radius 25 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 30.🪝 What does a single fixed pulley change? (a) the size of the load (b) the colour of rope (c) gravity (d) the direction of pull
- 31.True or false: a movable pulley only changes direction. (a) False (b) True
- 32.🪝 More rope sections holding a load means … (a) less effort needed (b) the load floats (c) more effort needed (d) no change
- 33.🪝 A well winch has a handle (wheel) of radius 16 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 34.🪝 A bucket weighing 210 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 35.🪝 A load of 880 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 36.🪝 A pulley system lifts a 1200 N load with an effort of 300 N. What is its mechanical advantage (MA)?
- 37.🪝 A pulley system lifts a 690 N load with an effort of 230 N. What is its mechanical advantage (MA)?
- 38.🪝 A winch has a wheel of radius 10 cm and an axle of radius 5 cm. What effort on the wheel lifts a 120 N bucket on the axle, in newtons? (ideal)
- 39.🪝 A pulley system lifts a 150 N load with an effort of 50 N. What is its mechanical advantage (MA)?
- 40.🪝 A well winch has a handle (wheel) of radius 24 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
Answer key
- 3
- 30
- a movable pulley
- True
- 60
- 4
- True
- 2
- 110
- a fixed pulley
- a movable pulley
- False
- 150
- False
- a fixed pulley
- a movable pulley
- 3
- a smaller rod (axle)
- False
- 24
- 180
- 4
- 150
- False
- 4
- 7
- 3
- 60
- 5
- the direction of pull
- False
- less effort needed
- 4
- 210
- 220
- 4
- 3
- 60
- 3
- 6
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