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 1500 kg car drives around a flat curve of radius 60 m at a constant 24 m/s. Find its centripetal acceleration a_c.

m = 1500 kgv = 24 m/sr = 60 m

a_c = m/s²

2.Easy

A 900 kg car drives around a flat curve of radius 60 m at a constant 10 m/s. Find its centripetal acceleration a_c.

m = 900 kgv = 10 m/sr = 60 m

a_c = m/s²

3.Medium

A car takes a flat curve of radius 45 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 = 45 mμ_s = 0.8g = 9.81 m/s²

v_max = m/s

4.Medium

A car takes a flat curve of radius 130 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 = 130 mμ_s = 0.6g = 9.81 m/s²

v_max = m/s

5.Hard

A 1.7 kg ball on a string 0.7 m long is swung in a vertical circle. At the lowest point it moves at 6.5 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.

m = 1.7 kgr = 0.7 mv = 6.5 m/sg = 9.81 m/s²

T = N

6.Hard

A 1.7 kg ball on a string 0.6 m long is swung in a vertical circle. At the lowest point it moves at 7 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.

m = 1.7 kgr = 0.6 mv = 7 m/sg = 9.81 m/s²

T = N

Answer key

1. a_c = 9.6 m/s²
2. a_c = 1.667 m/s²
3. v_max = 18.79 m/s
4. v_max = 27.66 m/s
5. T = 119.3 N
6. T = 155.5 N

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