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

Comparing the above velocity `v_("max")` ?
`x=A"sin"(omegat+phi)`
we get, A=10 m
`omega=pis^(-1) "and" phi (pi)/(6)`
`because T=(2pi)/(omega)implies T=2s`
`v_("max")=omegaA=10 pi ms^(-1)`