Question

If a SHM is represented by the equation x=10 sin(pit+(pi)/(6)) in Si units, then determine its amplitude, time period and maximum uelocity upsilon_(max) ?

Answer 1

The amplitude, time period and maximum velocity are:

• SHM is represented by the equation x = 10 $sin (\pi t +\frac{\pi }{6})$

• General equation for a SHM ⇒ y = A sin (ωt + θ)
• Comparing the equations, we get:

               Amplitude = A = 10 m

              Time period = T = (2$\pi$)/ω = $\frac{2\pi }{\pi } = 2$

              Maximum velocity = ω A = $\pi$ * 10 = 10$\pi$ m/s