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

The value is
`k = 51.34 \ N/ m`

Step-by-step 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 = (4 \pi^2 * m )/( T^2)`

=>
`k = (4* 3.142^2 * 1.3 )/( 1^2)`

=>
`k = 51.34 \ N/ m`