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 20 m at a constant 13 m/s. Find its centripetal acceleration a_c.

m = 1100 kgv = 13 m/sr = 20 m

a_c = m/s²

2.Easy

A 1100 kg car drives around a flat curve of radius 140 m at a constant 9 m/s. Find its centripetal acceleration a_c.

m = 1100 kgv = 9 m/sr = 140 m

a_c = m/s²

3.Medium

An 800 kg car drives over the top of a hump in the road at 11 m/s. The top of the hump is a circular arc of radius 45 m. Use g = 9.81 m/s². Find the normal force N of the road on the car at the top.

m = 800 kgv = 11 m/sr = 45 mg = 9.81 m/s²

N = N

4.Medium

A 1500 kg car drives over the top of a hump in the road at 14 m/s. The top of the hump is a circular arc of radius 30 m. Use g = 9.81 m/s². Find the normal force N of the road on the car at the top.

m = 1500 kgv = 14 m/sr = 30 mg = 9.81 m/s²

N = N

5.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

6.Hard

A curve of radius 100 m is banked at 25°, and the coefficient of static friction between tyres and road is 0.1. Use g = 9.81 m/s². Find the highest speed v_max at which a car can take the curve without sliding up and out.

r = 100 mθ = 25°μ_s = 0.1g = 9.81 m/s²

v_max = m/s

Answer key

1. a_c = 8.45 m/s²
2. a_c = 0.5786 m/s²
3. N = 5697 N
4. N = 4915 N
5. v_min = 3.836 m/s
6. v_max = 24.14 m/s

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