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 12 cm turning an axle of radius 4 cm. What is its mechanical advantage (MA)?
- 2.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 1 m, how many metres of rope must you pull?
- 3.True or false: a fixed pulley stays in one place. (a) True (b) False
- 4.🪝 A winch has a wheel of radius 3 cm and an axle of radius 1 cm. What effort on the wheel lifts a 270 N bucket on the axle, in newtons? (ideal)
- 5.🪝 A bucket weighing 120 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 6.🪝 A bucket weighing 200 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 7.🪝 More rope sections holding a load means … (a) the load floats (b) no change (c) more effort needed (d) less effort needed
- 8.🪝 Fixed or movable pulley: which one is on a flagpole top? (a) a movable pulley (b) a fixed pulley
- 9.🪝 A pulley system lifts an 880 N load with an effort of 220 N. What is its mechanical advantage (MA)?
- 10.True or false: a fixed pulley hangs on the rope loop. (a) False (b) True
- 11.🪝 Fixed or movable pulley: which one only changes direction? (a) a movable pulley (b) a fixed pulley
- 12.🪝 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)
- 13.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 14.🪝 Fixed or movable pulley: which one halves the effort? (a) a fixed pulley (b) a movable pulley
- 15.🪝 A bucket weighing 370 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 well winch has a handle (wheel) of radius 9 cm turning an axle of radius 3 cm. What is its mechanical advantage (MA)?
- 17.🪝 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)
- 18.True or false: a movable pulley makes you pull 2× rope. (a) False (b) True
- 19.🪝 A well winch has a handle (wheel) of radius 5 cm turning an axle of radius 1 cm. What is its mechanical advantage (MA)?
- 20.🪝 Fixed or movable pulley: which one stays in one place? (a) a movable pulley (b) a fixed pulley
- 21.🪝 Fixed or movable pulley: which one hangs on the rope loop? (a) a movable pulley (b) a fixed pulley
- 22.🪝 A winch has a wheel of radius 8 cm and an axle of radius 2 cm. What effort on the wheel lifts a 440 N bucket on the axle, in newtons? (ideal)
- 23.True or false: a fixed pulley needs effort = load. (a) False (b) True
- 24.True or false: a fixed pulley is on a flagpole top. (a) True (b) False
- 25.🪝 Fixed or movable pulley: which one makes you pull 2× rope? (a) a movable pulley (b) a fixed pulley
- 26.🪝 A pulley system lifts a 690 N load with an effort of 230 N. What is its mechanical advantage (MA)?
- 27.🪝 A well winch has a handle (wheel) of radius 10 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 28.🪝 A pulley system has 2 rope sections holding up the load. To lift the load by 6 m, how many metres of rope must you pull?
- 29.🪝 A winch has a wheel of radius 6 cm and an axle of radius 2 cm. What effort on the wheel lifts a 510 N bucket on the axle, in newtons? (ideal)
- 30.🪝 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?
- 31.🪝 A well winch has a handle (wheel) of radius 6 cm turning an axle of radius 2 cm. What is its mechanical advantage (MA)?
- 32.True or false: a fixed pulley only changes direction. (a) True (b) False
- 33.🪝 A pulley system lifts a 440 N load with an effort of 110 N. What is its mechanical advantage (MA)?
- 34.🪝 A winch has a wheel of radius 2 cm and an axle of radius 1 cm. What effort on the wheel lifts a 60 N bucket on the axle, in newtons? (ideal)
- 35.🪝 A winch has a wheel of radius 15 cm and an axle of radius 3 cm. What effort on the wheel lifts a 150 N bucket on the axle, in newtons? (ideal)
- 36.🪝 A bucket weighing 150 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 pulley system has 2 rope sections holding up the load. To lift the load by 3 m, how many metres of rope must you pull?
- 38.🪝 A bucket weighing 210 N is lifted with a single fixed pulley at the top of a well. What effort is needed, in newtons? (ideal pulley, no friction)
- 39.True or false: a movable pulley only changes direction. (a) True (b) False
- 40.🪝 What does a single fixed pulley change? (a) gravity (b) the size of the load (c) the colour of rope (d) the direction of pull
Answer key
- 3
- 2
- True
- 90
- 120
- 200
- less effort needed
- a fixed pulley
- 4
- False
- a fixed pulley
- 490
- 2
- a movable pulley
- 370
- 3
- 480
- True
- 5
- a fixed pulley
- a movable pulley
- 110
- True
- True
- a movable pulley
- 3
- 5
- 12
- 170
- 21
- 3
- True
- 4
- 30
- 30
- 150
- 6
- 210
- False
- the direction of pull
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