ScienceAges 13-15

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 13-15

Moment of a force (torque)

Take your time. Show your thinking.

1. A perpendicular force of 33 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 = 33 N
2. A perpendicular force of 15 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 = 15 N
3. A perpendicular force of 23 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 = 23 N
4. A perpendicular force of 28 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 = 28 N
5. A perpendicular force of 21 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 = 21 N
6. A perpendicular force of 29 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 4 m · F = 29 N
7. A perpendicular force of 41 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 = 41 N
8. A perpendicular force of 26 N is applied at a distance of 5 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 5 m · F = 26 N
9. A perpendicular force of 40 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 = 40 N
10. A perpendicular force of 13 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 4 m · F = 13 N
11. A perpendicular force of 41 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 4 m · F = 41 N
12. A perpendicular force of 12 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 = 12 N

12 questions · Seed 43 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 13-15

Moment of a force (torque)

Answers and reasoning. Review before teaching.

1. A perpendicular force of 33 N is applied at a distance of 8 m from a pivot. Use M = F × d to calculate the moment of the force.
264 N·m
Moment M = force × perpendicular distance = 33 N × 8 m = 264 N·m.
2. A perpendicular force of 15 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
90 N·m
Moment M = force × perpendicular distance = 15 N × 6 m = 90 N·m.
3. A perpendicular force of 23 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
23 N·m
Moment M = force × perpendicular distance = 23 N × 1 m = 23 N·m.
4. A perpendicular force of 28 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
252 N·m
Moment M = force × perpendicular distance = 28 N × 9 m = 252 N·m.
5. A perpendicular force of 21 N is applied at a distance of 8 m from a pivot. Use M = F × d to calculate the moment of the force.
168 N·m
Moment M = force × perpendicular distance = 21 N × 8 m = 168 N·m.
6. A perpendicular force of 29 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
116 N·m
Moment M = force × perpendicular distance = 29 N × 4 m = 116 N·m.
7. A perpendicular force of 41 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
41 N·m
Moment M = force × perpendicular distance = 41 N × 1 m = 41 N·m.
8. A perpendicular force of 26 N is applied at a distance of 5 m from a pivot. Use M = F × d to calculate the moment of the force.
130 N·m
Moment M = force × perpendicular distance = 26 N × 5 m = 130 N·m.
9. A perpendicular force of 40 N is applied at a distance of 3 m from a pivot. Use M = F × d to calculate the moment of the force.
120 N·m
Moment M = force × perpendicular distance = 40 N × 3 m = 120 N·m.
10. A perpendicular force of 13 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
52 N·m
Moment M = force × perpendicular distance = 13 N × 4 m = 52 N·m.
11. A perpendicular force of 41 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
164 N·m
Moment M = force × perpendicular distance = 41 N × 4 m = 164 N·m.
12. A perpendicular force of 12 N is applied at a distance of 7 m from a pivot. Use M = F × d to calculate the moment of the force.
84 N·m
Moment M = force × perpendicular distance = 12 N × 7 m = 84 N·m.

12 questions · Seed 43 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 13-15

Moment of a force (torque)

Take your time. Show your thinking.

1. A perpendicular force of 33 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 = 33 N
2. A perpendicular force of 15 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 = 15 N
3. A perpendicular force of 23 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 = 23 N
4. A perpendicular force of 28 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 = 28 N
5. A perpendicular force of 21 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 = 21 N
6. A perpendicular force of 29 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 4 m · F = 29 N
7. A perpendicular force of 41 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 = 41 N
8. A perpendicular force of 26 N is applied at a distance of 5 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 5 m · F = 26 N
9. A perpendicular force of 40 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 = 40 N
10. A perpendicular force of 13 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 4 m · F = 13 N
11. A perpendicular force of 41 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 4 m · F = 41 N
12. A perpendicular force of 12 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 = 12 N

12 questions · Seed 43 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 13-15

Moment of a force (torque)

Answers and reasoning. Review before teaching.

1. A perpendicular force of 33 N is applied at a distance of 8 m from a pivot. Use M = F × d to calculate the moment of the force.
264 N·m
Moment M = force × perpendicular distance = 33 N × 8 m = 264 N·m.
2. A perpendicular force of 15 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
90 N·m
Moment M = force × perpendicular distance = 15 N × 6 m = 90 N·m.
3. A perpendicular force of 23 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
23 N·m
Moment M = force × perpendicular distance = 23 N × 1 m = 23 N·m.
4. A perpendicular force of 28 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
252 N·m
Moment M = force × perpendicular distance = 28 N × 9 m = 252 N·m.
5. A perpendicular force of 21 N is applied at a distance of 8 m from a pivot. Use M = F × d to calculate the moment of the force.
168 N·m
Moment M = force × perpendicular distance = 21 N × 8 m = 168 N·m.
6. A perpendicular force of 29 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
116 N·m
Moment M = force × perpendicular distance = 29 N × 4 m = 116 N·m.
7. A perpendicular force of 41 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
41 N·m
Moment M = force × perpendicular distance = 41 N × 1 m = 41 N·m.
8. A perpendicular force of 26 N is applied at a distance of 5 m from a pivot. Use M = F × d to calculate the moment of the force.
130 N·m
Moment M = force × perpendicular distance = 26 N × 5 m = 130 N·m.
9. A perpendicular force of 40 N is applied at a distance of 3 m from a pivot. Use M = F × d to calculate the moment of the force.
120 N·m
Moment M = force × perpendicular distance = 40 N × 3 m = 120 N·m.
10. A perpendicular force of 13 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
52 N·m
Moment M = force × perpendicular distance = 13 N × 4 m = 52 N·m.
11. A perpendicular force of 41 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
164 N·m
Moment M = force × perpendicular distance = 41 N × 4 m = 164 N·m.
12. A perpendicular force of 12 N is applied at a distance of 7 m from a pivot. Use M = F × d to calculate the moment of the force.
84 N·m
Moment M = force × perpendicular distance = 12 N × 7 m = 84 N·m.

12 questions · Seed 43 · Age guidance, not curriculum certification