ScienceAges 16-18

Circular motion & centripetal force

Use F = mv² ÷ r to calculate the inward centripetal force acting on a mass in uniform circular motion. Review suitability for your learners before teaching.

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Worksheet StudioPractice pack · Ages 16-18

Circular motion & centripetal force

Take your time. Show your thinking.

1. A 66 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 3 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 66 kg, r = 11 m → v = 3 m/s → F_c = ? · F_c = mv² ÷ r
2. A 6 kg mass moves in a horizontal circle of radius 3 m at a constant speed of 4 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 6 kg, r = 3 m → v = 4 m/s → F_c = ? · F_c = mv² ÷ r
3. A 66 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 2 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 66 kg, r = 11 m → v = 2 m/s → F_c = ? · F_c = mv² ÷ r
4. A 33 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 12 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 33 kg, r = 11 m → v = 12 m/s → F_c = ? · F_c = mv² ÷ r
5. A 6 kg mass moves in a horizontal circle of radius 2 m at a constant speed of 9 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 6 kg, r = 2 m → v = 9 m/s → F_c = ? · F_c = mv² ÷ r
6. A 33 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 8 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 33 kg, r = 11 m → v = 8 m/s → F_c = ? · F_c = mv² ÷ r
7. A 28 kg mass moves in a horizontal circle of radius 7 m at a constant speed of 3 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 28 kg, r = 7 m → v = 3 m/s → F_c = ? · F_c = mv² ÷ r
8. A 30 kg mass moves in a horizontal circle of radius 6 m at a constant speed of 10 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 30 kg, r = 6 m → v = 10 m/s → F_c = ? · F_c = mv² ÷ r
9. A 60 kg mass moves in a horizontal circle of radius 12 m at a constant speed of 5 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 60 kg, r = 12 m → v = 5 m/s → F_c = ? · F_c = mv² ÷ r
10. A 4 kg mass moves in a horizontal circle of radius 4 m at a constant speed of 4 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 4 kg, r = 4 m → v = 4 m/s → F_c = ? · F_c = mv² ÷ r
11. A 22 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 10 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 22 kg, r = 11 m → v = 10 m/s → F_c = ? · F_c = mv² ÷ r
12. A 33 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 3 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 33 kg, r = 11 m → v = 3 m/s → F_c = ? · F_c = mv² ÷ r

12 questions · Seed 49 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 16-18

Circular motion & centripetal force

Answers and reasoning. Review before teaching.

1. A 66 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 3 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
54 N
Centripetal force F = (m × v²) ÷ r = (66 × 3²) ÷ 11 = 594 ÷ 11 = 54 N.
2. A 6 kg mass moves in a horizontal circle of radius 3 m at a constant speed of 4 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
32 N
Centripetal force F = (m × v²) ÷ r = (6 × 4²) ÷ 3 = 96 ÷ 3 = 32 N.
3. A 66 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 2 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
24 N
Centripetal force F = (m × v²) ÷ r = (66 × 2²) ÷ 11 = 264 ÷ 11 = 24 N.
4. A 33 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 12 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
432 N
Centripetal force F = (m × v²) ÷ r = (33 × 12²) ÷ 11 = 4752 ÷ 11 = 432 N.
5. A 6 kg mass moves in a horizontal circle of radius 2 m at a constant speed of 9 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
243 N
Centripetal force F = (m × v²) ÷ r = (6 × 9²) ÷ 2 = 486 ÷ 2 = 243 N.
6. A 33 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 8 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
192 N
Centripetal force F = (m × v²) ÷ r = (33 × 8²) ÷ 11 = 2112 ÷ 11 = 192 N.
7. A 28 kg mass moves in a horizontal circle of radius 7 m at a constant speed of 3 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
36 N
Centripetal force F = (m × v²) ÷ r = (28 × 3²) ÷ 7 = 252 ÷ 7 = 36 N.
8. A 30 kg mass moves in a horizontal circle of radius 6 m at a constant speed of 10 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
500 N
Centripetal force F = (m × v²) ÷ r = (30 × 10²) ÷ 6 = 3000 ÷ 6 = 500 N.
9. A 60 kg mass moves in a horizontal circle of radius 12 m at a constant speed of 5 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
125 N
Centripetal force F = (m × v²) ÷ r = (60 × 5²) ÷ 12 = 1500 ÷ 12 = 125 N.
10. A 4 kg mass moves in a horizontal circle of radius 4 m at a constant speed of 4 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
16 N
Centripetal force F = (m × v²) ÷ r = (4 × 4²) ÷ 4 = 64 ÷ 4 = 16 N.
11. A 22 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 10 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
200 N
Centripetal force F = (m × v²) ÷ r = (22 × 10²) ÷ 11 = 2200 ÷ 11 = 200 N.
12. A 33 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 3 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
27 N
Centripetal force F = (m × v²) ÷ r = (33 × 3²) ÷ 11 = 297 ÷ 11 = 27 N.

12 questions · Seed 49 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 16-18

Circular motion & centripetal force

Take your time. Show your thinking.

1. A 66 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 3 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 66 kg, r = 11 m → v = 3 m/s → F_c = ? · F_c = mv² ÷ r
2. A 6 kg mass moves in a horizontal circle of radius 3 m at a constant speed of 4 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 6 kg, r = 3 m → v = 4 m/s → F_c = ? · F_c = mv² ÷ r
3. A 66 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 2 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 66 kg, r = 11 m → v = 2 m/s → F_c = ? · F_c = mv² ÷ r
4. A 33 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 12 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 33 kg, r = 11 m → v = 12 m/s → F_c = ? · F_c = mv² ÷ r
5. A 6 kg mass moves in a horizontal circle of radius 2 m at a constant speed of 9 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 6 kg, r = 2 m → v = 9 m/s → F_c = ? · F_c = mv² ÷ r
6. A 33 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 8 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 33 kg, r = 11 m → v = 8 m/s → F_c = ? · F_c = mv² ÷ r
7. A 28 kg mass moves in a horizontal circle of radius 7 m at a constant speed of 3 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 28 kg, r = 7 m → v = 3 m/s → F_c = ? · F_c = mv² ÷ r
8. A 30 kg mass moves in a horizontal circle of radius 6 m at a constant speed of 10 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 30 kg, r = 6 m → v = 10 m/s → F_c = ? · F_c = mv² ÷ r
9. A 60 kg mass moves in a horizontal circle of radius 12 m at a constant speed of 5 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 60 kg, r = 12 m → v = 5 m/s → F_c = ? · F_c = mv² ÷ r
10. A 4 kg mass moves in a horizontal circle of radius 4 m at a constant speed of 4 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 4 kg, r = 4 m → v = 4 m/s → F_c = ? · F_c = mv² ÷ r
11. A 22 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 10 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 22 kg, r = 11 m → v = 10 m/s → F_c = ? · F_c = mv² ÷ r
12. A 33 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 3 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
m = 33 kg, r = 11 m → v = 3 m/s → F_c = ? · F_c = mv² ÷ r

12 questions · Seed 49 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 16-18

Circular motion & centripetal force

Answers and reasoning. Review before teaching.

1. A 66 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 3 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
54 N
Centripetal force F = (m × v²) ÷ r = (66 × 3²) ÷ 11 = 594 ÷ 11 = 54 N.
2. A 6 kg mass moves in a horizontal circle of radius 3 m at a constant speed of 4 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
32 N
Centripetal force F = (m × v²) ÷ r = (6 × 4²) ÷ 3 = 96 ÷ 3 = 32 N.
3. A 66 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 2 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
24 N
Centripetal force F = (m × v²) ÷ r = (66 × 2²) ÷ 11 = 264 ÷ 11 = 24 N.
4. A 33 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 12 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
432 N
Centripetal force F = (m × v²) ÷ r = (33 × 12²) ÷ 11 = 4752 ÷ 11 = 432 N.
5. A 6 kg mass moves in a horizontal circle of radius 2 m at a constant speed of 9 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
243 N
Centripetal force F = (m × v²) ÷ r = (6 × 9²) ÷ 2 = 486 ÷ 2 = 243 N.
6. A 33 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 8 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
192 N
Centripetal force F = (m × v²) ÷ r = (33 × 8²) ÷ 11 = 2112 ÷ 11 = 192 N.
7. A 28 kg mass moves in a horizontal circle of radius 7 m at a constant speed of 3 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
36 N
Centripetal force F = (m × v²) ÷ r = (28 × 3²) ÷ 7 = 252 ÷ 7 = 36 N.
8. A 30 kg mass moves in a horizontal circle of radius 6 m at a constant speed of 10 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
500 N
Centripetal force F = (m × v²) ÷ r = (30 × 10²) ÷ 6 = 3000 ÷ 6 = 500 N.
9. A 60 kg mass moves in a horizontal circle of radius 12 m at a constant speed of 5 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
125 N
Centripetal force F = (m × v²) ÷ r = (60 × 5²) ÷ 12 = 1500 ÷ 12 = 125 N.
10. A 4 kg mass moves in a horizontal circle of radius 4 m at a constant speed of 4 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
16 N
Centripetal force F = (m × v²) ÷ r = (4 × 4²) ÷ 4 = 64 ÷ 4 = 16 N.
11. A 22 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 10 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
200 N
Centripetal force F = (m × v²) ÷ r = (22 × 10²) ÷ 11 = 2200 ÷ 11 = 200 N.
12. A 33 kg mass moves in a horizontal circle of radius 11 m at a constant speed of 3 m/s. Using F = mv² ÷ r, calculate the centripetal force acting toward the centre.
27 N
Centripetal force F = (m × v²) ÷ r = (33 × 3²) ÷ 11 = 297 ÷ 11 = 27 N.

12 questions · Seed 49 · Age guidance, not curriculum certification