5. A mass attached to a spring oscillates and completes 50 full cycles in 30 s. What is the time period and frequency of this system?

Please show all of your work.

Respuesta :

frequency:

⇒ oscillation / time taken

⇒ 50 / 30

⇒ 5 / 3

⇒ 1.667

≈ 1.7 Hz

period:

⇒ 1 / frequency

⇒ 1 / 1.7                               ( when taken frequency as 5/3, period is 0.6 s )

⇒ 0.6 seconds

  • Oscillation=50
  • Time=30s

Frequency:-

[tex]\\ \rm\rightarrowtail \nu=\dfrac{50}{30}=\dfrac{5}{3}=1.67Hz[/tex]

Time period::

[tex]\\ \rm\rightarrowtail \dfrac{1}{\nu}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{1.67}[/tex]

[tex]\\ \rm\rightarrowtail 0.7s[/tex]