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 600 kg car drives around a flat curve of radius 160 m at a constant 9 m/s. Find the inward (centripetal) force F_c needed.

m = 600 kgv = 9 m/sr = 160 m

F_c = N

2.Easy

A 1700 kg car drives around a flat curve of radius 150 m at a constant 24 m/s. Find its centripetal acceleration a_c.

m = 1700 kgv = 24 m/sr = 150 m

a_c = m/s²

3.Medium

A car takes a flat curve of radius 50 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 = 50 mμ_s = 0.8g = 9.81 m/s²

v_max = m/s

4.Medium

A car takes a flat curve of radius 145 m. The coefficient of static friction between tyres and road is 0.5. Use g = 9.81 m/s². Find the highest speed v_max at which the car can take the curve without skidding.

r = 145 mμ_s = 0.5g = 9.81 m/s²

v_max = m/s

5.Hard

A 1.7 kg ball on a string 1.5 m long is swung in a vertical circle. At the lowest point it moves at 4 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.

m = 1.7 kgr = 1.5 mv = 4 m/sg = 9.81 m/s²

T = N

6.Hard

A 1.9 kg ball on a string 1.5 m long is swung in a vertical circle. At the lowest point it moves at 5.5 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.

m = 1.9 kgr = 1.5 mv = 5.5 m/sg = 9.81 m/s²

T = N

Answer key

1. F_c = 303.8 N
2. a_c = 3.84 m/s²
3. v_max = 19.81 m/s
4. v_max = 26.67 m/s
5. T = 34.81 N
6. T = 56.96 N

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