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 40 cm and an axle of radius 5 cm. What effort on the wheel lifts a 720 N bucket on the axle, in newtons? (ideal)
- 2.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 3.🪝 A pulley system has 4 rope sections holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 4.True or false: a movable pulley stays in one place. (a) False (b) True
- 5.🪝 A well winch has a handle (wheel) of radius 4 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 6.🪝 A pulley system lifts a 360 N load with an effort of 90 N. What is its mechanical advantage (MA)?
- 7.True or false: a movable pulley halves the effort. (a) False (b) True
- 8.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 9.🪝 A pulley system lifts a 280 N load with an effort of 140 N. What is its mechanical advantage (MA)?
- 10.🪝 A pulley system lifts an 840 N load with an effort of 210 N. What is its mechanical advantage (MA)?
- 11.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 7 m, how many metres of rope must you pull?
- 12.🪝 Fixed or movable pulley: which one needs effort = load? (a) a fixed pulley (b) a movable pulley
- 13.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 14.🪝 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)
- 15.🪝 A bucket weighing 40 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.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a fixed pulley (b) a movable pulley
- 17.🪝 What does a single fixed pulley change? (a) the colour of rope (b) the direction of pull (c) the size of the load (d) gravity
- 18.🪝 Fixed or movable pulley: which one rises with the load? (a) a movable pulley (b) a fixed pulley
- 19.🪝 A bucket weighing 70 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 20.True or false: a fixed pulley hangs on the rope loop. (a) True (b) False
- 21.🪝 A bucket weighing 480 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 22.🪝 A winch has a wheel of radius 24 cm and an axle of radius 4 cm. What effort on the wheel lifts a 120 N bucket on the axle, in newtons? (ideal)
- 23.True or false: a movable pulley hangs on the rope loop. (a) True (b) False
- 24.🪝 A wheel and axle is a big wheel fixed to … (a) a loose rope (b) a sharp wedge (c) a flat ramp (d) a smaller rod (axle)
- 25.True or false: a movable pulley needs effort = load. (a) True (b) False
- 26.🪝 A winch has a wheel of radius 25 cm and an axle of radius 5 cm. What effort on the wheel lifts a 350 N bucket on the axle, in newtons? (ideal)
- 27.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 28.🪝 A pulley system lifts an 800 N load with an effort of 200 N. What is its mechanical advantage (MA)?
- 29.🪝 A bucket weighing 500 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 30.🪝 A winch has a wheel of radius 8 cm and an axle of radius 4 cm. What effort on the wheel lifts a 240 N bucket on the axle, in newtons? (ideal)
- 31.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 32.🪝 A winch has a wheel of radius 6 cm and an axle of radius 3 cm. What effort on the wheel lifts a 360 N bucket on the axle, in newtons? (ideal)
- 33.🪝 A winch has a wheel of radius 12 cm and an axle of radius 4 cm. What effort on the wheel lifts a 600 N bucket on the axle, in newtons? (ideal)
- 34.True or false: a movable pulley makes you pull 2× rope. (a) False (b) True
- 35.True or false: a fixed pulley rises with the load. (a) True (b) False
- 36.True or false: a fixed pulley only changes direction. (a) True (b) False
- 37.🪝 Fixed or movable pulley: which one halves the effort? (a) a movable pulley (b) a fixed pulley
- 38.True or false: a fixed pulley makes you pull 2× rope. (a) True (b) False
- 39.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 340 N bucket on the axle, in newtons? (ideal)
- 40.🪝 A winch has a wheel of radius 4 cm and an axle of radius 2 cm. What effort on the wheel lifts an 80 N bucket on the axle, in newtons? (ideal)
Answer key
- 90
- 5
- 12
- False
- 4
- 4
- True
- a fixed pulley
- 2
- 4
- 14
- a fixed pulley
- a fixed pulley
- 20
- 40
- a movable pulley
- the direction of pull
- a movable pulley
- 70
- False
- 480
- 20
- True
- a smaller rod (axle)
- False
- 70
- a fixed pulley
- 4
- 500
- 120
- a movable pulley
- 180
- 200
- True
- False
- True
- a movable pulley
- False
- 170
- 40
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