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
r = 0.65 mv60 rpm

A small object sits 65 cm from the axis of a disc that turns at a steady 60 revolutions per minute. Find its centripetal acceleration ac.

n = 60 rpmr = 0.65 m
ac = m/s²
2.Easy
r = 110 m20 m/sF = ?

A 700 kg car drives around a flat curve of radius 110 m at a constant 20 m/s. Find the inward (centripetal) force Fc needed.

m = 700 kgv = 20 m/sr = 110 m
Fc = N
3.Medium
θ = 20°to centrev = ?

A curve of radius 350 m is banked at 20°. At what speed v can a car take it with no friction needed at all? Use g = 9.81 m/s².

r = 350 mθ = 20°g = 9.81 m/s²
v = m/s
4.Medium
θ = 20°to centrev = ?

A curve of radius 240 m is banked at 20°. At what speed v can a car take it with no friction needed at all? Use g = 9.81 m/s².

r = 240 mθ = 20°g = 9.81 m/s²
v = m/s
5.Hard
r = 1.3 mv = 5.5 m/s

A 1.8 kg ball on a string 1.3 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 = 1.8 kgr = 1.3 mv = 5.5 m/sg = 9.81 m/s²
T = N
6.Hard
r = 0.6 mv = 4.5 m/s

A 1.1 kg ball on a string 0.6 m long is swung in a vertical circle. At the lowest point it moves at 4.5 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.

m = 1.1 kgr = 0.6 mv = 4.5 m/sg = 9.81 m/s²
T = N

Answer key

  1. 1. ac = 25.66 m/s²
  2. 2. Fc = 2545 N
  3. 3. v = 35.35 m/s
  4. 4. v = 29.27 m/s
  5. 5. T = 59.54 N
  6. 6. T = 47.92 N

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