A position sensor tracks a component undergoing simple harmonic motion. Its displacement $x$ from equilibrium is modelled by

$$x=A\cos\phi,\qquad \phi=\phi_0+\frac{2\pi t}{T},$$

where the phase angle $\phi$ is in radians. The amplitude is $0.060\ \mathrm{m}$ the period is $0.80\ \mathrm{s}$ and the initial phase angle is $\pi/3$