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 120 m at a constant 22 m/s. Find the inward (centripetal) force F_c needed.

m = 1500 kgv = 22 m/sr = 120 m

F_c = N

2.Easy

A 0.6 kg stone is whirled in a horizontal circle of radius 0.3 m on a smooth, level table, held by a string that breaks at a tension of 140 N. Find the highest speed v_max the stone can have.

m = 0.6 kgr = 0.3 mT_max = 140 N

v_max = m/s

3.Medium

A small ball on a string of length 1 m moves in a horizontal circle so that the string makes a constant angle of 20° with the vertical (a conical pendulum). Use g = 9.81 m/s². Find the speed v of the ball.

L = 1 mθ = 20°g = 9.81 m/s²

v = m/s

4.Medium

A curve of radius 290 m is banked at 12°. At what speed v can a car take it with no friction needed at all? Use g = 9.81 m/s².

r = 290 mθ = 12°g = 9.81 m/s²

v = m/s

5.Hard

A 0.8 kg ball on a string 0.8 m long is swung in a vertical circle. At the lowest point it moves at 4 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.

m = 0.8 kgr = 0.8 mv = 4 m/sg = 9.81 m/s²

T = N

6.Hard

A 1.7 kg ball on a string 1.4 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 = 1.7 kgr = 1.4 mv = 9 m/sg = 9.81 m/s²

T = N

Answer key

1. F_c = 6050 N
2. v_max = 8.367 m/s
3. v = 1.105 m/s
4. v = 24.59 m/s
5. T = 23.85 N
6. T = 115 N

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