Circular motion worksheet with answers

Free printable Circular motion worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

New worksheet Practise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________ Date: ____________

1.Easy

A 600 kg car drives around a flat curve of radius 140 m at a constant 20 m/s. Find the inward (centripetal) force F_c needed.

m = 600 kgv = 20 m/sr = 140 m

F_c = N

2.Easy

A 900 kg car drives around a flat curve of radius 150 m at a constant 10 m/s. Find its centripetal acceleration a_c.

m = 900 kgv = 10 m/sr = 150 m

a_c = m/s²

3.Medium

A car takes a flat curve of radius 45 m. The coefficient of static friction between tyres and road is 0.7. Use g = 9.81 m/s². Find the highest speed v_max at which the car can take the curve without skidding.

r = 45 mμ_s = 0.7g = 9.81 m/s²

v_max = m/s

4.Medium

A car takes a flat curve of radius 30 m. The coefficient of static friction between tyres and road is 0.4. Use g = 9.81 m/s². Find the highest speed v_max at which the car can take the curve without skidding.

r = 30 mμ_s = 0.4g = 9.81 m/s²

v_max = m/s

5.Hard

A 0.3 kg ball on a string 0.9 m long is swung in a vertical circle. At the lowest point it moves at 6 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.

m = 0.3 kgr = 0.9 mv = 6 m/sg = 9.81 m/s²

T = N

6.Hard

A 1.6 kg ball on a string 1.2 m long is swung in a vertical circle. At the lowest point it moves at 9 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.

m = 1.6 kgr = 1.2 mv = 9 m/sg = 9.81 m/s²

T = N

Answer key

1. F_c = 1714 N
2. a_c = 0.6667 m/s²
3. v_max = 17.58 m/s
4. v_max = 10.85 m/s
5. T = 14.94 N
6. T = 123.7 N

Full step-by-step solutions: practise this topic on examproblems.com.