Respuesta :

Answer:

Explanation:

For simple pendulum the formula is

[tex]T=2\pi\sqrt{\frac{l}{g} }[/tex]

Where T is time period , l is length and g is acceleration due to gravity .

[tex]\frac{1}{n} =2\pi\sqrt{\frac{l}{g} }[/tex]

n is frequency

Putting the values

[tex]\frac{1}{.4} =2\pi\sqrt{\frac{l}{10} }[/tex]

[tex]\frac{l}{10} = .1584[/tex]

l = 1.584 m