Question

a pendulum completes 4 oscillation in 10 sec what is its time period if g= 9.8m/s find its length​

Answer 1

Answer:

A pendulum completes 2 oscillations in 5 seconds What is its time period

0.56 A simple pendulum takes 30 seconds to complete 90 oscillations. So, the time period of the pendulum i (A) 0.45 seconds (B) 0.33 seconds.

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Answer 2

Answer:

The length of the pendulum is equal to 1.553m.

Step-by-step explanation:

Given,

Time taken by pendulum completes 4 oscillation = 10s

Then, time to complete one oscillation $=\frac{10}{4} =2.5sec$

Time period of a pendulum is defined as the time required to finish the one complete oscillation.

Time period (T) of a pendulum is given by:

$T=2\pi \sqrt{\frac{l}{g} }$                                          .....................(1)

Where 'g' is the acceleration due to gravity and l is the length of the pendulum

Now, the time period of the pendulum, $T=2.5sec$

Given, gravitational acceleration, g=9.8m/s

Put the value of g and  T in eq. (1);

$2.5=2\pi \sqrt{\frac{l}{9.8} }$

Squaring on both sides:

$(2.5)^{2}=4*(3.14)^{2}(\frac{l}{9.8})$

$l=\frac{(9.8)*(6.25)}{39.44}$

$l=1.553m$

Therefore, length of the pendulum equals 1.553m.