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 1500 kg car drives around a flat curve of radius 70 m at a constant 23 m/s. Find the inward (centripetal) force F_c needed.

m = 1500 kgv = 23 m/sr = 70 m

F_c = N

2.Easy

A 0.8 kg stone is whirled in a horizontal circle of radius 1.1 m on a smooth, level table, held by a string that breaks at a tension of 60 N. Find the highest speed v_max the stone can have.

m = 0.8 kgr = 1.1 mT_max = 60 N

v_max = m/s

3.Medium

A 1500 kg car drives over the top of a hump in the road at 7 m/s. The top of the hump is a circular arc of radius 25 m. Use g = 9.81 m/s². Find the normal force N of the road on the car at the top.

m = 1500 kgv = 7 m/sr = 25 mg = 9.81 m/s²

N = N

4.Medium

A car takes a flat curve of radius 65 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 = 65 mμ_s = 0.4g = 9.81 m/s²

v_max = m/s

5.Hard

A ball on a string 0.7 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 = 0.7 mg = 9.81 m/s²

v_min = m/s

6.Hard

A ball on a string 1.5 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 = 1.5 mg = 9.81 m/s²

v_min = m/s

Answer key

1. F_c = 11336 N
2. v_max = 9.083 m/s
3. N = 11775 N
4. v_max = 15.97 m/s
5. v_min = 2.62 m/s
6. v_min = 3.836 m/s

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