amplitude, perodic time, angular velocity, phase angle and lead time!
i am working through a question, and just wanted to make sure i am on the right lines. so guidence and help be great the question is as follows:
an oscillating mechanism has a maximum displacement, d of 1.6m and a freqency of 20Hz. At a time t=0 sec the displacement is +50 cm.
determine the amplitude, periodic time, angular velocity, phase angle and lead time, then express the displacement in the form Rsin (vt + a)
amplitude A = maximum displacement
A = 1.6m
angular velocity: omega symbol = 2pf
phase angle, x use displacement, d = A sin (v t + a)
d = 1.6sin (40pt+a)
when t=0, d =0.50m
sin-1 0.50/1.6 = a
18.2 x p rads/180
a=18.2 x p rads/180
displacement = 1.6sin(40p (t) + 0.317)
this is where i get bit lost, to get to the lead time. i know the formula a/v
any help to get there by great thanks