A particle is vibrating with f : Ut = 8 sin (1/2 pi t/T)

[sam2711]

from this equation i get the amplitude is 8 cm, it's a sine function so i guess it has to be a harmonic oscillation

i haven't had physics in a while so not really getting anywhere

-i need to know T (time for one oscillation)
-the frequency f which is 1/T
-Vt and At equations, i know i have to differentiate the given equation but i can't figure out how exactly
-the velocity (speed) and acceleration on t = 1s
-and the Vmax and Amax

 

[tiny-tim]

hi sam2711! welcome to pf!

i need to know T (time for one oscillation)

you don't need to differentiate for that …

the period T is the the value of t for which the angle (the phase) is 2π (= 360°)

… i know i have to differentiate the given equation but i can't figure out how exactly

use the chain rule …

show us what you get ​

 

[sam2711]

thanks for the help tiny-tim, will post my work as soon as I'm done