Question

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

Answer 1

Answer:

The value is  $k = 51.34 \ N/ m$

Explanation:

From the question we are told that

   The  mass is  $m = 1.3 \ kg$

   The needed oscillation time is  $T = 1 \ s$  

 Generally the spring constant is mathematically represented  as

         $k = \frac{4 \pi^2 * m }{ T^2}$

=>      $k = \frac{4* 3.142^2 * 1.3 }{ 1^2}$

=>      $k = 51.34 \ N/ m$