Question

define seconds pendulum. obtain an expression of it's length​

Answer 1

Answer:

999999999999982++_88+26+_8(₹

Answer 2

The seconds pendulum is defined as the pendulum whose time period is equal to two seconds. The expression for the length of the seconds pendulum is equal to 0.99m.

Definition for seconds pendulum

The pendulum that has an oscillating time period of two seconds for a complete vibration is defined to be the seconds pendulum.

Step-by-step Explanation

Given:

• The time period of the seconds pendulum $=2$ seconds

To be found: To find the expression for the length of the seconds pendulum.

Formula used: The formula for the time period of a pendulum is given as,

$T=2\pi \sqrt\frac{L}{g}$

where,

• $T=$ Time period of the pendulum
• $L=$ Length of the pendulum
• $g=$ Acceleration due to gravity, taken as $9.8ms^{-2}$

Using the above formula, we can rearrange and find the expression for the length of the seconds pendulum.

Squaring the formula, we get

$L=\frac{T^{2} g}{4\pi ^{2} }$

Now, substituting the appropriate values, we get

$L=\frac{(2)^{2}\times9.8 }{4\times(3.14)^{2} }$

$\implies L=0.99m$

Therefore, the length of the second pendulum is equal to 0,99m and is calculated using the expression, $L=\frac{T^{2} g}{4\pi ^{2} }$