Physics, asked by 51yfallatah, 10 months ago

A swinging pendulum completes 25 oscillations in 8s,
a. what is the time-period?
b. what is the frequency of vibration?

Answers

Answered by Anonymous
7

Solution :

Given:

✏ No.of oscillations = 25

✏ Time interval = 8s

To Find:

  1. Time period
  2. Frequency of vibration

Concept:

✏ Time period is defined as time requires to complete one oscillation.

✏ Frequency is defined as the number of waves that pass a fixed point in unit time or the number of cycles or vibrations undergone during one unit of time by a body in periodic motion.

Formula:

✏ Formula of time period is given by

 \star \:  \underline{ \boxed{ \bold{ \sf{ \pink{Time \: period =  \dfrac{Total \: time \: to \: complete \: n \: oscillations}{n}}}}}}  \:  \star

✏ Formula of frequency is given by

 \star \:  \underline{ \boxed{ \bold{ \sf{ \green{ \large{Frequency =  \frac{1}{Time \: period}}}}}}}  \:  \star

Calculation:

  • Time period

 \implies \sf \: T =  \dfrac{8}{25}  \\  \\  \implies \:  \boxed{ \sf{ \red{T = 0.32 \: s}}} \:  \bigstar

  • Frequency

 \implies \sf \:  \nu =  \dfrac{1}{0.32}  \\  \\  \implies \:  \boxed{ \sf{ \orange{ \nu = 3.125 \:  {s}^{ - 1}}}}  \:  \star

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