Question

A 2.0 kg particle moves as a function of time as follows:

             x = 3.5 sin (1.5t+π/2)

Where, distance is measured in meters and time in seconds.

(a) What is the amplitude, frequency, angular frequency, and period of this motion?

Answer 1

Amplitude $A=3.5 \ (m)$

Angular frequency $\omega=1.5\ (rad/s)$

Frequency $f=\frac{\omega}{2\pi}=\frac{1.5}{2\cdot 3.14}=0.24\ (Hz)$

Period $T=\frac{1}{f}=\frac{1}{0.24}=4.17\ (s)$