A clock is designed that uses a mass on the end of a spring as a timing mechanism. If the oscillation time needed is exactly one second, what is the spring constant required if the mass is 1.3 kg

Respuesta :

Answer:

The value is  [tex]k = 51.34 \ N/ m[/tex]

Explanation:

From the question we are told that

   The  mass is  [tex]m = 1.3 \ kg[/tex]

   The needed oscillation time is  [tex]T = 1 \ s[/tex]  

 Generally the spring constant is mathematically represented  as

         [tex]k = \frac{4 \pi^2 * m }{ T^2}[/tex]

=>      [tex]k = \frac{4* 3.142^2 * 1.3 }{ 1^2}[/tex]

=>      [tex]k = 51.34 \ N/ m[/tex]