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CAIE A-Level Physics A2 12.1 Kinematics of Uniform Circular Motion Questions

Practise using radians, angular speed, period, frequency, radius and tangential speed in uniform circular motion and interpreting their relationships.

Syllabus
2028–2030
Course
Physics 9702
Level
A2

Exam points

  • define and use radians and angular speed for uniform circular motion
  • calculate angular speed, period, frequency, radius or linear speed using ω = 2π/T and v = rω
  • interpret the relationship between angular and tangential quantities

Covered syllabus points

12.1.1—The radian and express angular displacement in radians12.1.2—The concept of angular speed12.1.3—Ω = 2π / T and v = rω

Question 1

[Maximum number: 3]

Question (a)

(a)

Define the radian.

[ 1 ]

Question (b)

(b)

The metal disc in Fig. 1.1 has a radius of 9.3 cm .

The centre of gravity of the modelling clay is 1.2 cm from the rim of the disc and moves with a speed of 0.68 ms−10.68 \mathrm{~ms}^{-1}.

[ 2 ]

Question (i)

(i)

Calculate the angular speed ω\omega of the disc.
ω=\omega=rad s−1\mathrm{rad\,s^{-1}}

[ 2 ]

Question 2

[Maximum number: 3]

A steel sphere of mass 0.29 kg is suspended in equilibrium from a vertical spring. The centre of the sphere is 8.5 cm from the top of the spring, as shown in Fig. 2.1.

Fig. 2.1

Fig. 2.1

The sphere is now set in motion so that it is moving in a horizontal circle at constant speed, as shown in Fig. 2.2.

Fig. 2.2

Fig. 2.2

The distance from the centre of the sphere to the top of the spring is now 10.8 cm .

Calculate the period of the circular motion of the sphere.
period =

Question 3

[Maximum number: 1]

Define the radian.

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