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 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)
- 2.🪝 A well winch has a handle (wheel) of radius 12 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 3.🪝 More rope sections holding a load means … (a) no change (b) the load floats (c) more effort needed (d) less effort needed
- 4.🪝 A winch has a wheel of radius 20 cm and an axle of radius 4 cm. What effort on the wheel lifts a 700 N bucket on the axle, in newtons? (ideal)
- 5.True or false: a fixed pulley halves the effort. (a) False (b) True
- 6.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 7.🪝 A wheel and axle is a big wheel fixed to … (a) a sharp wedge (b) a smaller rod (axle) (c) a loose rope (d) a flat ramp
- 8.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 9.🪝 A pulley system lifts an 810 N load with an effort of 270 N. What is its mechanical advantage (MA)?
- 10.🪝 A pulley system lifts a 60 N load with an effort of 20 N. What is its mechanical advantage (MA)?
- 11.🪝 A load of 840 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 12.🪝 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)
- 13.True or false: a movable pulley is on a flagpole top. (a) False (b) True
- 14.🪝 A well winch has a handle (wheel) of radius 3 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 15.True or false: a fixed pulley stays in one place. (a) True (b) False
- 16.🪝 Fixed or movable pulley: which one only changes direction? (a) a fixed pulley (b) a movable pulley
- 17.🪝 What does a single fixed pulley change? (a) the size of the load (b) gravity (c) the direction of pull (d) the colour of rope
- 18.🪝 A pulley system lifts a 120 N load with an effort of 40 N. What is its mechanical advantage (MA)?
- 19.🪝 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?
- 20.🪝 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)
- 21.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 22.🪝 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)
- 23.🪝 A well winch has a handle (wheel) of radius 15 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 24.True or false: a movable pulley makes you pull 2× rope. (a) True (b) False
- 25.🪝 A bucket weighing 410 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 26.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 4 m, how many metres of rope must you pull?
- 27.🪝 A load of 480 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 28.🪝 A load of 80 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 pulley system has 2 rope sections holding up the load. To lift the load by 9 m, how many metres of rope must you pull?
- 30.🪝 A load of 580 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 31.🪝 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)
- 32.🪝 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)
- 33.🪝 A winch has a wheel of radius 15 cm and an axle of radius 3 cm. What effort on the wheel lifts a 700 N bucket on the axle, in newtons? (ideal)
- 34.True or false: a movable pulley halves the effort. (a) False (b) True
- 35.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 36.True or false: a fixed pulley only changes direction. (a) True (b) False
- 37.True or false: a movable pulley stays in one place. (a) False (b) True
- 38.🪝 A load of 260 N hangs from a pulley system in which 2 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 39.True or false: a movable pulley rises with the load. (a) True (b) False
- 40.True or false: a fixed pulley is on a flagpole top. (a) False (b) True
Answer key
- 260
- 3
- less effort needed
- 140
- False
- 3
- a smaller rod (axle)
- 24
- 3
- 3
- 210
- 100
- False
- 3
- True
- a fixed pulley
- the direction of pull
- 3
- 21
- 270
- a movable pulley
- 60
- 5
- True
- 410
- 8
- 120
- 20
- 18
- 290
- 140
- 90
- 140
- True
- 2
- True
- False
- 130
- True
- True
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