A Machine part is undergoing SHM with a frequency of 5.00 Hz and amplitude 1.80 CM, how long does it take the part to go from x=0 to x=-1.80 cm?

Respuesta :

Answer:

t = 0.0625 s

Explanation:

given,

frequency of SHM = 5 Hz

Amplitude, A = 1.80 cm

time taken to move from x=0 to x = -1.80 cm

we know,  

  [tex]frequency = \dfrac{1}{time\ period}[/tex]

  [tex]f = \dfrac{1}{T}[/tex]

  [tex]T = \dfrac{1}{5}[/tex]

        T = 0.25 s

T is the time taken complete one cycle

But for SHM to reach  x = -1.80 cm  time taken will be equal to T/4

   now,

   [tex]t = \dfrac{T}{4}[/tex]

   [tex]t = \dfrac{0.25}{4}[/tex]

          t = 0.0625 s

time taken to go  from x=0 to x = -1.80 cm is equal to t = 0.0625 s