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 1100 kg car drives around a flat curve of radius 190 m at a constant 8 m/s. Find the inward (centripetal) force F_c needed.

m = 1100 kgv = 8 m/sr = 190 m

F_c = N

2.Easy

A 1500 kg car drives around a flat curve of radius 170 m at a constant 30 m/s. Find the inward (centripetal) force F_c needed.

m = 1500 kgv = 30 m/sr = 170 m

F_c = N

3.Medium

A car takes a flat curve of radius 125 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 = 125 mμ_s = 0.3g = 9.81 m/s²

v_max = m/s

4.Medium

A car takes a flat curve of radius 130 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 = 130 mμ_s = 0.3g = 9.81 m/s²

v_max = m/s

5.Hard

A 2 kg ball on a light string 0.8 m long is swung in a vertical circle. At the lowest point its speed is 12 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 = 2 kgr = 0.8 mv_bottom = 12 m/sg = 9.81 m/s²

T_top = N

6.Hard

A ball on a string 1 m long is swung in a vertical circle. Use g = 9.81 m/s². What is the smallest speed v_min at the top for which the string just stays tight?

r = 1 mg = 9.81 m/s²

v_min = m/s

Answer key

1. F_c = 370.5 N
2. F_c = 7941 N
3. v_max = 19.18 m/s
4. v_max = 19.56 m/s
5. T_top = 261.9 N
6. v_min = 3.132 m/s

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