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 well winch has a handle (wheel) of radius 16 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 2.🪝 A load of 1000 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 lifts a 100 N load with an effort of 50 N. What is its mechanical advantage (MA)?
- 4.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 5.True or false: a movable pulley halves the effort. (a) True (b) False
- 6.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 7.True or false: a movable pulley hangs on the rope loop. (a) False (b) True
- 8.🪝 A winch has a wheel of radius 25 cm and an axle of radius 5 cm. What effort on the wheel lifts a 500 N bucket on the axle, in newtons? (ideal)
- 9.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 8 m, how many metres of rope must you pull?
- 10.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 11.True or false: a fixed pulley rises with the load. (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.🪝 A winch has a wheel of radius 40 cm and an axle of radius 5 cm. What effort on the wheel lifts a 640 N bucket on the axle, in newtons? (ideal)
- 14.True or false: a movable pulley stays in one place. (a) False (b) True
- 15.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 16.🪝 A load of 800 N hangs from a pulley system in which 4 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 17.True or false: a fixed pulley needs effort = load. (a) True (b) False
- 18.🪝 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)
- 19.True or false: a fixed pulley halves the effort. (a) True (b) False
- 20.🪝 More rope sections holding a load means … (a) the load floats (b) less effort needed (c) more effort needed (d) no change
- 21.🪝 A load of 510 N hangs from a pulley system in which 3 rope sections hold up the load. What effort is needed, in newtons? (ideal pulleys)
- 22.🪝 A winch has a wheel of radius 21 cm and an axle of radius 3 cm. What effort on the wheel lifts a 980 N bucket on the axle, in newtons? (ideal)
- 23.🪝 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
- 24.🪝 A pulley system lifts a 90 N load with an effort of 30 N. What is its mechanical advantage (MA)?
- 25.🪝 What does a single fixed pulley change? (a) the direction of pull (b) the size of the load (c) gravity (d) the colour of rope
- 26.🪝 A pulley system has 3 rope sections holding up the load. To lift the load by 5 m, how many metres of rope must you pull?
- 27.🪝 A bucket weighing 230 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 stays in one place? (a) a movable pulley (b) a fixed pulley
- 29.True or false: a movable pulley needs effort = load. (a) False (b) True
- 30.🪝 A pulley system lifts a 140 N load with an effort of 70 N. What is its mechanical advantage (MA)?
- 31.🪝 A pulley system lifts a 300 N load with an effort of 100 N. What is its mechanical advantage (MA)?
- 32.🪝 A winch has a wheel of radius 16 cm and an axle of radius 4 cm. What effort on the wheel lifts an 80 N bucket on the axle, in newtons? (ideal)
- 33.🪝 A pulley system lifts a 360 N load with an effort of 120 N. What is its mechanical advantage (MA)?
- 34.🪝 A pulley system lifts a 540 N load with an effort of 180 N. What is its mechanical advantage (MA)?
- 35.🪝 Fixed or movable pulley: which one needs effort = load? (a) a movable pulley (b) a fixed pulley
- 36.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 37.True or false: a fixed pulley stays in one place. (a) True (b) False
- 38.🪝 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?
- 39.🪝 A pulley system lifts a 360 N load with an effort of 90 N. What is its mechanical advantage (MA)?
- 40.🪝 A load of 900 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
- 4
- 250
- 2
- a fixed pulley
- True
- 28
- True
- 100
- 32
- False
- False
- 3
- 80
- False
- a movable pulley
- 200
- True
- 90
- False
- less effort needed
- 170
- 140
- a smaller rod (axle)
- 3
- the direction of pull
- 15
- 230
- a fixed pulley
- False
- 2
- 3
- 20
- 3
- 3
- a fixed pulley
- 5
- True
- 6
- 4
- 300
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