Question

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.

Answer 1

• Oscillation=50
• Time=30s

Frequency:-

`\\ \rm\rightarrowtail \\u=(50)/(30)=(5)/(3)=1.67Hz`

Time period::

`\\ \rm\rightarrowtail (1)/(\\u)`

`\\ \rm\rightarrowtail (1)/(1.67)`

`\\ \rm\rightarrowtail 0.7s`

Answer 2

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