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.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 2.🪝 A bucket weighing 20 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 3.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 4.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 5.True or false: a fixed pulley stays in one place. (a) False (b) True
- 6.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 7.True or false: a fixed pulley only changes direction. (a) False (b) True
- 8.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 9.🪝 A winch has a wheel of radius 30 cm and an axle of radius 5 cm. What effort on the wheel lifts a 900 N bucket on the axle, in newtons? (ideal)
- 10.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 11.True or false: a movable pulley is on a flagpole top. (a) False (b) True
- 12.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 13.True or false: a movable pulley stays in one place. (a) True (b) False
- 14.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 15.🪝 A pulley system lifts a 160 N load with an effort of 40 N. What is its mechanical advantage (MA)?
- 16.🪝 A bucket weighing 270 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 17.🪝 A wheel and axle is a big wheel fixed to … (a) a loose rope (b) a smaller rod (axle) (c) a sharp wedge (d) a flat ramp
- 18.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 19.🪝 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)
- 20.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 21.🪝 A pulley system lifts a 280 N load with an effort of 70 N. What is its mechanical advantage (MA)?
- 22.🪝 A pulley system lifts a 200 N load with an effort of 50 N. What is its mechanical advantage (MA)?
- 23.🪝 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)
- 24.🪝 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)
- 25.True or false: a fixed pulley rises with the load. (a) False (b) True
- 26.🪝 A pulley system lifts a 510 N load with an effort of 170 N. What is its mechanical advantage (MA)?
- 27.🪝 A winch has a wheel of radius 7 cm and an axle of radius 1 cm. What effort on the wheel lifts a 770 N bucket on the axle, in newtons? (ideal)
- 28.🪝 A pulley system lifts a 520 N load with an effort of 260 N. What is its mechanical advantage (MA)?
- 29.🪝 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
- 30.🪝 A load of 120 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 31.True or false: a movable pulley rises with the load. (a) False (b) True
- 32.True or false: a movable pulley makes you pull 2× rope. (a) False (b) True
- 33.🪝 A bucket weighing 180 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.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 35.🪝 More rope sections holding a load means … (a) the load floats (b) more effort needed (c) less effort needed (d) no change
- 36.🪝 A bucket weighing 490 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 winch has a wheel of radius 15 cm and an axle of radius 5 cm. What effort on the wheel lifts a 210 N bucket on the axle, in newtons? (ideal)
- 38.🪝 A well winch has a handle (wheel) of radius 2 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 39.True or false: a movable pulley needs effort = load. (a) True (b) False
- 40.🪝 A load of 210 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
Answer key
- a movable pulley
- 20
- 6
- 16
- True
- a fixed pulley
- True
- True
- 150
- 2
- False
- 3
- False
- 4
- 4
- 270
- a smaller rod (axle)
- a movable pulley
- 60
- False
- 4
- 4
- 90
- 260
- False
- 3
- 110
- 2
- the direction of pull
- 60
- True
- True
- 180
- 21
- less effort needed
- 490
- 70
- 2
- False
- 70
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