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 1700 kg car drives around a flat curve of radius 110 m at a constant 27 m/s. Find the inward (centripetal) force F_c needed.

m = 1700 kgv = 27 m/sr = 110 m

F_c = N

2.Easy

A 1700 kg car drives around a flat curve of radius 130 m at a constant 9 m/s. Find the inward (centripetal) force F_c needed.

m = 1700 kgv = 9 m/sr = 130 m

F_c = N

3.Medium

A car takes a flat curve of radius 65 m. The coefficient of static friction between tyres and road is 0.3. Use g = 9.81 m/s². Find the highest speed v_max at which the car can take the curve without skidding.

r = 65 mμ_s = 0.3g = 9.81 m/s²

v_max = m/s

4.Medium

A car takes a flat curve of radius 45 m. The coefficient of static friction between tyres and road is 0.3. 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 = 0.3g = 9.81 m/s²

v_max = m/s

5.Hard

A 0.5 kg ball on a light string 1.2 m long is swung in a vertical circle. At the lowest point its speed is 8.5 m/s. Ignore air resistance and use g = 9.81 m/s². Find the tension T_top in the string at the highest point.

m = 0.5 kgr = 1.2 mv_bottom = 8.5 m/sg = 9.81 m/s²

T_top = N

6.Hard

A 1.8 kg ball on a string 1.2 m long is swung in a vertical circle. At the lowest point it moves at 7 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.

m = 1.8 kgr = 1.2 mv = 7 m/sg = 9.81 m/s²

T = N

Answer key

1. F_c = 11266 N
2. F_c = 1059 N
3. v_max = 13.83 m/s
4. v_max = 11.51 m/s
5. T_top = 5.579 N
6. T = 91.16 N

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