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.

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1.Easy

A 0.3 kg stone is whirled in a horizontal circle of radius 1.7 m on a smooth, level table, held by a string that breaks at a tension of 70 N. Find the highest speed v_max the stone can have.

m = 0.3 kgr = 1.7 mT_max = 70 N

v_max = m/s

2.Easy

A 1200 kg car drives around a flat curve of radius 190 m at a constant 18 m/s. Find its centripetal acceleration a_c.

m = 1200 kgv = 18 m/sr = 190 m

a_c = m/s²

3.Medium

A car drives over the top of a hump in the road, which is a circular arc of radius 105 m. Use g = 9.81 m/s². Above what speed v_max do the wheels leave the road at the top?

r = 105 mg = 9.81 m/s²

v_max = m/s

4.Medium

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 v_max do the wheels leave the road at the top?

r = 80 mg = 9.81 m/s²

v_max = m/s

5.Hard

A 0.2 kg ball on a string 1.5 m long is swung in a vertical circle. At the lowest point it moves at 3.5 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.

m = 0.2 kgr = 1.5 mv = 3.5 m/sg = 9.81 m/s²

T = N

6.Hard

A 0.3 kg ball on a string 0.6 m long is swung in a vertical circle. At the lowest point it moves at 5 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.

m = 0.3 kgr = 0.6 mv = 5 m/sg = 9.81 m/s²

T = N

Answer key

1. v_max = 19.92 m/s
2. a_c = 1.705 m/s²
3. v_max = 32.09 m/s
4. v_max = 28.01 m/s
5. T = 3.595 N
6. T = 15.44 N

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