1.Easy
A small object sits 145 cm from the axis of a disc that turns at a steady 120 revolutions per minute. Find its centripetal acceleration ac.
n = 120 rpmr = 1.45 m
ac = m/s²
Circular motion worksheet with answers
2.Easy
A 1.9 kg stone is whirled in a horizontal circle of radius 1.6 m on a smooth, level table, held by a string that breaks at a tension of 80 N. Find the highest speed vmax the stone can have.
m = 1.9 kgr = 1.6 mTmax = 80 N
vmax = m/s
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 vmax at which the car can take the curve without skidding.
r = 45 mμs = 0.8g = 9.81 m/s²
vmax = 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 vmax at which the car can take the curve without skidding.
r = 130 mμs = 0.6g = 9.81 m/s²
vmax = m/s
5.Hard
A 1.3 kg ball on a string 0.6 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 = 1.3 kgr = 0.6 mv = 6.5 m/sg = 9.81 m/s²
T = N
6.Hard
A curve of radius 220 m is banked at 15°, and the coefficient of static friction between tyres and road is 0.1. Use g = 9.81 m/s². Find the highest speed vmax at which a car can take the curve without sliding up and out.
r = 220 mθ = 15°μs = 0.1g = 9.81 m/s²
vmax = m/s
Answer key
- 1. ac = 229 m/s²
- 2. vmax = 8.208 m/s
- 3. vmax = 18.79 m/s
- 4. vmax = 27.66 m/s
- 5. T = 104.3 N
- 6. vmax = 28.57 m/s
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