Question

How long must a simple pendulum be if it is to make exactly one swing per second? (That is, one complete vibration takes exactly 2.0 s.)

Answer 1

it is very simple.

Step-by-step explanation:

One swing per second means it takes 2 seconds for one complete oscillation.

thanks for watching.

Answer 2

Oscillation is a type of periodic motion which repeats itself to and from about a point which is called mean position. The period of a Pendulum can be described as a ratio between the length and gravity as,

`T = 2\pi \sqrt{(L)/(g)}`

Here,

L = length

g = Gravity

If we rearrange to find the length we have that,

`L = (T^2g)/(4\pi^2)`

Our period is 2s and the gravity is 9.8m/s^2, then,

`L = ((2)^2(9.8))/(4\pi^2)`

`L = 0.9929m`

The simple required length of the pendulum must be 0.9929m