ScienceAges 10-12

Moment of a force (torque)

Use M = F × d to calculate the turning moment of a force about a pivot in newton-metres (N·m). Review suitability for your learners before teaching.

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Age band:Ages 10-12 Ages 13-15

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Worksheet StudioPractice pack · Ages 10-12

Moment of a force (torque)

Take your time. Show your thinking.

1. A perpendicular force of 24 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 9 m · F = 24 N
2. A perpendicular force of 45 N is applied at a distance of 10 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 10 m · F = 45 N
3. A perpendicular force of 35 N is applied at a distance of 7 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 7 m · F = 35 N
4. A perpendicular force of 4 N is applied at a distance of 3 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 3 m · F = 4 N
5. A perpendicular force of 50 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 6 m · F = 50 N
6. A perpendicular force of 16 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 1 m · F = 16 N
7. A perpendicular force of 34 N is applied at a distance of 2 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 2 m · F = 34 N
8. A perpendicular force of 32 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 6 m · F = 32 N
9. A perpendicular force of 28 N is applied at a distance of 10 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 10 m · F = 28 N
10. A perpendicular force of 12 N is applied at a distance of 2 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 2 m · F = 12 N
11. A perpendicular force of 46 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 6 m · F = 46 N
12. A perpendicular force of 42 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 6 m · F = 42 N

12 questions · Seed 42 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 10-12

Moment of a force (torque)

Answers and reasoning. Review before teaching.

1. A perpendicular force of 24 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
216 N·m
Moment M = force × perpendicular distance = 24 N × 9 m = 216 N·m.
2. A perpendicular force of 45 N is applied at a distance of 10 m from a pivot. Use M = F × d to calculate the moment of the force.
450 N·m
Moment M = force × perpendicular distance = 45 N × 10 m = 450 N·m.
3. A perpendicular force of 35 N is applied at a distance of 7 m from a pivot. Use M = F × d to calculate the moment of the force.
245 N·m
Moment M = force × perpendicular distance = 35 N × 7 m = 245 N·m.
4. A perpendicular force of 4 N is applied at a distance of 3 m from a pivot. Use M = F × d to calculate the moment of the force.
12 N·m
Moment M = force × perpendicular distance = 4 N × 3 m = 12 N·m.
5. A perpendicular force of 50 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
300 N·m
Moment M = force × perpendicular distance = 50 N × 6 m = 300 N·m.
6. A perpendicular force of 16 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
16 N·m
Moment M = force × perpendicular distance = 16 N × 1 m = 16 N·m.
7. A perpendicular force of 34 N is applied at a distance of 2 m from a pivot. Use M = F × d to calculate the moment of the force.
68 N·m
Moment M = force × perpendicular distance = 34 N × 2 m = 68 N·m.
8. A perpendicular force of 32 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
192 N·m
Moment M = force × perpendicular distance = 32 N × 6 m = 192 N·m.
9. A perpendicular force of 28 N is applied at a distance of 10 m from a pivot. Use M = F × d to calculate the moment of the force.
280 N·m
Moment M = force × perpendicular distance = 28 N × 10 m = 280 N·m.
10. A perpendicular force of 12 N is applied at a distance of 2 m from a pivot. Use M = F × d to calculate the moment of the force.
24 N·m
Moment M = force × perpendicular distance = 12 N × 2 m = 24 N·m.
11. A perpendicular force of 46 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
276 N·m
Moment M = force × perpendicular distance = 46 N × 6 m = 276 N·m.
12. A perpendicular force of 42 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
252 N·m
Moment M = force × perpendicular distance = 42 N × 6 m = 252 N·m.

12 questions · Seed 42 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 10-12

Moment of a force (torque)

Take your time. Show your thinking.

1. A perpendicular force of 24 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 9 m · F = 24 N
2. A perpendicular force of 45 N is applied at a distance of 10 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 10 m · F = 45 N
3. A perpendicular force of 35 N is applied at a distance of 7 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 7 m · F = 35 N
4. A perpendicular force of 4 N is applied at a distance of 3 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 3 m · F = 4 N
5. A perpendicular force of 50 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 6 m · F = 50 N
6. A perpendicular force of 16 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 1 m · F = 16 N
7. A perpendicular force of 34 N is applied at a distance of 2 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 2 m · F = 34 N
8. A perpendicular force of 32 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 6 m · F = 32 N
9. A perpendicular force of 28 N is applied at a distance of 10 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 10 m · F = 28 N
10. A perpendicular force of 12 N is applied at a distance of 2 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 2 m · F = 12 N
11. A perpendicular force of 46 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 6 m · F = 46 N
12. A perpendicular force of 42 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 6 m · F = 42 N

12 questions · Seed 42 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 10-12

Moment of a force (torque)

Answers and reasoning. Review before teaching.

1. A perpendicular force of 24 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
216 N·m
Moment M = force × perpendicular distance = 24 N × 9 m = 216 N·m.
2. A perpendicular force of 45 N is applied at a distance of 10 m from a pivot. Use M = F × d to calculate the moment of the force.
450 N·m
Moment M = force × perpendicular distance = 45 N × 10 m = 450 N·m.
3. A perpendicular force of 35 N is applied at a distance of 7 m from a pivot. Use M = F × d to calculate the moment of the force.
245 N·m
Moment M = force × perpendicular distance = 35 N × 7 m = 245 N·m.
4. A perpendicular force of 4 N is applied at a distance of 3 m from a pivot. Use M = F × d to calculate the moment of the force.
12 N·m
Moment M = force × perpendicular distance = 4 N × 3 m = 12 N·m.
5. A perpendicular force of 50 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
300 N·m
Moment M = force × perpendicular distance = 50 N × 6 m = 300 N·m.
6. A perpendicular force of 16 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
16 N·m
Moment M = force × perpendicular distance = 16 N × 1 m = 16 N·m.
7. A perpendicular force of 34 N is applied at a distance of 2 m from a pivot. Use M = F × d to calculate the moment of the force.
68 N·m
Moment M = force × perpendicular distance = 34 N × 2 m = 68 N·m.
8. A perpendicular force of 32 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
192 N·m
Moment M = force × perpendicular distance = 32 N × 6 m = 192 N·m.
9. A perpendicular force of 28 N is applied at a distance of 10 m from a pivot. Use M = F × d to calculate the moment of the force.
280 N·m
Moment M = force × perpendicular distance = 28 N × 10 m = 280 N·m.
10. A perpendicular force of 12 N is applied at a distance of 2 m from a pivot. Use M = F × d to calculate the moment of the force.
24 N·m
Moment M = force × perpendicular distance = 12 N × 2 m = 24 N·m.
11. A perpendicular force of 46 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
276 N·m
Moment M = force × perpendicular distance = 46 N × 6 m = 276 N·m.
12. A perpendicular force of 42 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
252 N·m
Moment M = force × perpendicular distance = 42 N × 6 m = 252 N·m.

12 questions · Seed 42 · Age guidance, not curriculum certification