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 1600 kg car drives around a flat curve of radius 30 m at a constant 29 m/s. Find its centripetal acceleration a_c.

m = 1600 kgv = 29 m/sr = 30 m

a_c = m/s²

2.Easy

A 1100 kg car drives around a flat curve of radius 90 m at a constant 21 m/s. Find its centripetal acceleration a_c.

m = 1100 kgv = 21 m/sr = 90 m

a_c = m/s²

3.Medium

A car takes a flat curve of radius 60 m. The coefficient of static friction between tyres and road is 0.8. Use g = 9.81 m/s². Find the highest speed v_max at which the car can take the curve without skidding.

r = 60 mμ_s = 0.8g = 9.81 m/s²

v_max = m/s

4.Medium

A car takes a flat curve of radius 85 m. The coefficient of static friction between tyres and road is 0.6. Use g = 9.81 m/s². Find the highest speed v_max at which the car can take the curve without skidding.

r = 85 mμ_s = 0.6g = 9.81 m/s²

v_max = m/s

5.Hard

A 1.4 kg ball on a light string 1.3 m long is swung in a vertical circle. At the lowest point its speed is 9.5 m/s. Ignore air resistance and use g = 9.81 m/s². Find the tension T_top in the string at the highest point.

m = 1.4 kgr = 1.3 mv_bottom = 9.5 m/sg = 9.81 m/s²

T_top = N

6.Hard

A 0.5 kg ball on a string 1 m long is swung in a vertical circle. At the lowest point it moves at 6 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.

m = 0.5 kgr = 1 mv = 6 m/sg = 9.81 m/s²

T = N

Answer key

1. a_c = 28.03 m/s²
2. a_c = 4.9 m/s²
3. v_max = 21.7 m/s
4. v_max = 22.37 m/s
5. T_top = 28.52 N
6. T = 22.91 N

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