IB Physics HL C.1.4 Period, Frequency and Angular Frequency Question Bank

Practise IB Physics HL C.1.4 by modelling spring, pendulum and wave timing with T, f and ω from graphs and measured data.

Exam points

Derive T, f or ω from spring, pendulum or SHM data and state consistent units.
Compare oscillator timing when mass, stiffness, length or gravitational field changes.
Infer frequency or period from graph gradients, wave speed and wavelength evidence.

[Maximum number: 3]

One end of a light spring is attached to a rigid horizontal support.

Figure for Question C.1.4—Period, frequency and angular frequency question 1 — IB Physics HL

An object W of mass 0.15 kg is suspended from the other end of the spring. The extension x of the spring is proportional to the force F causing the extension. The force per unit extension of the spring k is $18 \mathrm{Nm}^{-1}$ .

A student pulls W down such that the extension of the spring increases by 0.040 m . The student releases W and as a result W performs simple harmonic motion (SHM).

Determine the period of oscillation of the spring.

$\omega=\sqrt{\frac{a}{x}}$ ;
$=10.95 \mathrm{~rad} \mathrm{~s}^{-2}$ ;
$T=\left(\frac{2\pi}{\omega}=\right) \frac{6.28}{10.95}=0.57 \mathrm{~s}$ ;

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C.1.4—Period, frequency and angular frequency question 1