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 38 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 = 38 N
2. A perpendicular force of 9 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 = 9 N
3. A perpendicular force of 33 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 = 33 N
4. 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
5. A perpendicular force of 26 N is applied at a distance of 8 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 8 m · F = 26 N
6. A perpendicular force of 47 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 = 47 N
7. A perpendicular force of 39 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 = 39 N
8. A perpendicular force of 10 N is applied at a distance of 8 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 8 m · F = 10 N
9. A perpendicular force of 13 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 = 13 N
10. A perpendicular force of 21 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 = 21 N
11. A perpendicular force of 30 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 = 30 N
12. A perpendicular force of 32 N is applied at a distance of 8 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 8 m · F = 32 N

12 questions · Seed 44 · 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 38 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
342 N·m
Moment M = force × perpendicular distance = 38 N × 9 m = 342 N·m.
2. A perpendicular force of 9 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
9 N·m
Moment M = force × perpendicular distance = 9 N × 1 m = 9 N·m.
3. A perpendicular force of 33 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
297 N·m
Moment M = force × perpendicular distance = 33 N × 9 m = 297 N·m.
4. 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.
5. A perpendicular force of 26 N is applied at a distance of 8 m from a pivot. Use M = F × d to calculate the moment of the force.
208 N·m
Moment M = force × perpendicular distance = 26 N × 8 m = 208 N·m.
6. A perpendicular force of 47 N is applied at a distance of 7 m from a pivot. Use M = F × d to calculate the moment of the force.
329 N·m
Moment M = force × perpendicular distance = 47 N × 7 m = 329 N·m.
7. A perpendicular force of 39 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
234 N·m
Moment M = force × perpendicular distance = 39 N × 6 m = 234 N·m.
8. A perpendicular force of 10 N is applied at a distance of 8 m from a pivot. Use M = F × d to calculate the moment of the force.
80 N·m
Moment M = force × perpendicular distance = 10 N × 8 m = 80 N·m.
9. A perpendicular force of 13 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
78 N·m
Moment M = force × perpendicular distance = 13 N × 6 m = 78 N·m.
10. A perpendicular force of 21 N is applied at a distance of 3 m from a pivot. Use M = F × d to calculate the moment of the force.
63 N·m
Moment M = force × perpendicular distance = 21 N × 3 m = 63 N·m.
11. A perpendicular force of 30 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
180 N·m
Moment M = force × perpendicular distance = 30 N × 6 m = 180 N·m.
12. A perpendicular force of 32 N is applied at a distance of 8 m from a pivot. Use M = F × d to calculate the moment of the force.
256 N·m
Moment M = force × perpendicular distance = 32 N × 8 m = 256 N·m.

12 questions · Seed 44 · 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 38 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 = 38 N
2. A perpendicular force of 9 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 = 9 N
3. A perpendicular force of 33 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 = 33 N
4. 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
5. A perpendicular force of 26 N is applied at a distance of 8 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 8 m · F = 26 N
6. A perpendicular force of 47 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 = 47 N
7. A perpendicular force of 39 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 = 39 N
8. A perpendicular force of 10 N is applied at a distance of 8 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 8 m · F = 10 N
9. A perpendicular force of 13 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 = 13 N
10. A perpendicular force of 21 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 = 21 N
11. A perpendicular force of 30 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 = 30 N
12. A perpendicular force of 32 N is applied at a distance of 8 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 8 m · F = 32 N

12 questions · Seed 44 · 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 38 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
342 N·m
Moment M = force × perpendicular distance = 38 N × 9 m = 342 N·m.
2. A perpendicular force of 9 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
9 N·m
Moment M = force × perpendicular distance = 9 N × 1 m = 9 N·m.
3. A perpendicular force of 33 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
297 N·m
Moment M = force × perpendicular distance = 33 N × 9 m = 297 N·m.
4. 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.
5. A perpendicular force of 26 N is applied at a distance of 8 m from a pivot. Use M = F × d to calculate the moment of the force.
208 N·m
Moment M = force × perpendicular distance = 26 N × 8 m = 208 N·m.
6. A perpendicular force of 47 N is applied at a distance of 7 m from a pivot. Use M = F × d to calculate the moment of the force.
329 N·m
Moment M = force × perpendicular distance = 47 N × 7 m = 329 N·m.
7. A perpendicular force of 39 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
234 N·m
Moment M = force × perpendicular distance = 39 N × 6 m = 234 N·m.
8. A perpendicular force of 10 N is applied at a distance of 8 m from a pivot. Use M = F × d to calculate the moment of the force.
80 N·m
Moment M = force × perpendicular distance = 10 N × 8 m = 80 N·m.
9. A perpendicular force of 13 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
78 N·m
Moment M = force × perpendicular distance = 13 N × 6 m = 78 N·m.
10. A perpendicular force of 21 N is applied at a distance of 3 m from a pivot. Use M = F × d to calculate the moment of the force.
63 N·m
Moment M = force × perpendicular distance = 21 N × 3 m = 63 N·m.
11. A perpendicular force of 30 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
180 N·m
Moment M = force × perpendicular distance = 30 N × 6 m = 180 N·m.
12. A perpendicular force of 32 N is applied at a distance of 8 m from a pivot. Use M = F × d to calculate the moment of the force.
256 N·m
Moment M = force × perpendicular distance = 32 N × 8 m = 256 N·m.

12 questions · Seed 44 · Age guidance, not curriculum certification