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 worksheetPractise 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
r = 80 m22 m/sF = ?

An 800 kg car drives around a flat curve of radius 80 m at a constant 22 m/s. Find the inward (centripetal) force Fc needed.

m = 800 kgv = 22 m/sr = 80 m
Fc = N
2.Easy
r = 140 m30 m/sac​ = ?

A 1800 kg car drives around a flat curve of radius 140 m at a constant 30 m/s. Find its centripetal acceleration ac.

m = 1800 kgv = 30 m/sr = 140 m
ac = m/s²
3.Medium
θ = ?to centre70 km/h

A road engineer wants cars to take a curve of radius 100 m at 70 km/h without relying on friction. Use g = 9.81 m/s². Find the banking angle θ.

r = 100 mv = 70 km/hg = 9.81 m/s²
θ = °
4.Medium
r = 80 mvmax​ = ?

A car drives over the top of a hump in the road, which is a circular arc of radius 80 m. Use g = 9.81 m/s². Above what speed vmax do the wheels leave the road at the top?

r = 80 mg = 9.81 m/s²
vmax = m/s
5.Hard
r = 0.8 mv = 8 m/s

A 1.9 kg ball on a string 0.8 m long is swung in a vertical circle. At the lowest point it moves at 8 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.

m = 1.9 kgr = 0.8 mv = 8 m/sg = 9.81 m/s²
T = N
6.Hard
r = 0.6 mv = 8.5 m/s

A 0.4 kg ball on a string 0.6 m long is swung in a vertical circle. At the lowest point it moves at 8.5 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.

m = 0.4 kgr = 0.6 mv = 8.5 m/sg = 9.81 m/s²
T = N

Answer key

  1. 1. Fc = 4840 N
  2. 2. ac = 6.429 m/s²
  3. 3. θ = 21.08 °
  4. 4. vmax = 28.01 m/s
  5. 5. T = 170.6 N
  6. 6. T = 52.09 N

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