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 4 cm and an axle of radius 2 cm. What effort on the wheel lifts a 180 N bucket on the axle, in newtons? (ideal)
- 2.🪝 A pulley system has 1 rope section holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 3.🪝 What does a single fixed pulley change? (a) gravity (b) the colour of rope (c) the size of the load (d) the direction of pull
- 4.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 5.🪝 A winch has a wheel of radius 24 cm and an axle of radius 3 cm. What effort on the wheel lifts a 1360 N bucket on the axle, in newtons? (ideal)
- 6.🪝 Fixed or movable pulley: which one rises with the load? (a) a fixed pulley (b) a movable pulley
- 7.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 8.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 9.🪝 A pulley system lifts a 500 N load with an effort of 250 N. What is its mechanical advantage (MA)?
- 10.🪝 A well winch has a handle (wheel) of radius 28 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 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.🪝 Fixed or movable pulley: which one stays in one place? (a) a fixed pulley (b) a movable pulley
- 13.🪝 A bucket weighing 360 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 14.🪝 A winch has a wheel of radius 21 cm and an axle of radius 3 cm. What effort on the wheel lifts a 1400 N bucket on the axle, in newtons? (ideal)
- 15.🪝 A bucket weighing 240 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 16.🪝 A winch has a wheel of radius 8 cm and an axle of radius 2 cm. What effort on the wheel lifts a 600 N bucket on the axle, in newtons? (ideal)
- 17.True or false: a fixed pulley halves the effort. (a) False (b) True
- 18.🪝 A pulley system lifts a 240 N load with an effort of 60 N. What is its mechanical advantage (MA)?
- 19.🪝 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)
- 20.🪝 More rope sections holding a load means … (a) more effort needed (b) less effort needed (c) the load floats (d) no change
- 21.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 22.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 23.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 24.🪝 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)
- 25.🪝 A pulley system lifts a 720 N load with an effort of 240 N. What is its mechanical advantage (MA)?
- 26.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 27.🪝 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?
- 28.🪝 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)
- 29.🪝 A winch has a wheel of radius 9 cm and an axle of radius 3 cm. What effort on the wheel lifts a 510 N bucket on the axle, in newtons? (ideal)
- 30.🪝 A well winch has a handle (wheel) of radius 15 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 31.🪝 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
- 32.🪝 A winch has a wheel of radius 8 cm and an axle of radius 4 cm. What effort on the wheel lifts a 400 N bucket on the axle, in newtons? (ideal)
- 33.🪝 A winch has a wheel of radius 12 cm and an axle of radius 3 cm. What effort on the wheel lifts a 200 N bucket on the axle, in newtons? (ideal)
- 34.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 9 m, how many metres of rope must you pull?
- 35.🪝 A well winch has a handle (wheel) of radius 8 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 36.🪝 A well winch has a handle (wheel) of radius 25 cm turning an axle of radius 5 cm. What is its mechanical advantage (MA)?
- 37.🪝 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)
- 38.🪝 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)
- 39.True or false: a movable pulley needs effort = load. (a) True (b) False
- 40.True or false: a fixed pulley is on a flagpole top. (a) True (b) False
Answer key
- 90
- 7
- the direction of pull
- a fixed pulley
- 170
- a movable pulley
- a movable pulley
- a movable pulley
- 2
- 7
- 160
- a fixed pulley
- 360
- 200
- 240
- 150
- False
- 4
- 100
- less effort needed
- 4
- False
- 3
- 170
- 3
- 2
- 3
- 220
- 170
- 3
- a smaller rod (axle)
- 200
- 50
- 36
- 4
- 5
- 290
- 200
- False
- True
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