Question

A pendulum make 40 oscillation in 2 seconds then its time period is

Answer 1

Answer:

Given:

A pendulum makes 40 oscillation in 2 seconds.

To find:

Time period

Definitions:

Time period is defined as the time taken to perform one complete oscillation by an object undergoing oscillatory motion.

Calculation:

Applying Unitary Method:

40 oscillations in 2 seconds.

∴ 1 oscillation in 2/40 = 0.05 seconds.

So, as per definition,

the final answer is 0.05 seconds or 50 milliseconds.

Answer 2

$\Huge{\boxed{\boxed{\mathsf{\purple{QUESTION \colon }}}}}$

A pendulum makes 40 oscillations in 2 seconds. Find its Time Period

$\Huge{\boxed{\boxed{\mathsf{\purple{ANSWER \colon }}}}}$

Time Period

• The time taken by an oscillating object to complete one oscillation is defined as the Time Period of that object.

• Generally, represented By T

From the Question,

The pendulum makes 40 oscillations in 2 seconds

To find

Time Period,i.e.,time taken to complete one oscillation

Let the time taken be t

Now,

$\large{ Cross Multiplying \begin{cases} \sf{40 \longrightarrow \: 2 }} \\ \large{ \sf{1 \longrightarrow \: t}} \ \end{cases}$

Implies,

$\large{ \sf{t = \frac{2}{40} }} \\ \\ \large{ \implies \: \sf{t = \frac{0.5}{10} }} \\ \\ \huge{ \implies \: \boxed{ \boxed{ \sf{ \green{ t = 0.05 \: s}}}}}$

#BAL

#AnswerWithQuality