Uniform Circular Motion – Practice

Questions:

1) A toy plane is attached to a light cable and swung around in uniform circular motion. The length of the cable is 10m and the mass of the plane is 0.4 kg. The plane completes one complete revolution in 8 seconds. Calculate:

a) the magnitude of the velocity of the plane

b) the centripetal acceleration

c) the centripetal force

2) A toy slot car loops around a uniform circular track with a radius of 70cm. The mass of the slot car was 100g. The car makes one complete loop in 6.2 seconds. Calculate:

a) the magnitude of the velocity of the slot car

b) the centripetal acceleration

c) the centripetal force

3) A hammer thrower swings the hammer around is head in uniform circular motion. The length of the cable is 1.8m and the mass of the plane is 3 kg. The velocity of the hammer is 5m/s. Calculate:

a) the centripetal acceleration

b) the centripetal force

c) the period of the hammer

4) A merry go round completes 10 revolutions in 2 minutes. Determine the average angular velocity in:

a) rad/s

b) deg/s

Quick Answers:

1a) 7.85 m/s    b) 6.16 m/s2    c) 2.47N

2a) 0.71 m/s    b) 0.72 m/s2    c) 0.072 N

3a) 13.89 m/s    b) 41.67 N    c) 2.26 s

4a) 0.52 rad/s     b) 30°/s 

Worked Answers:

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