Calculating Inductance for Resonant LC Circuit

[tnutty]

Homework Statement

Your professor tells you about pre-digital computer days when engineers used electric circuits to model mechanical systems. They could modify parameters of the circuit elements and see the effect on the circuit's behavior. Suppose a 5.0kg mass is connected to a spring with k = 1.54. This is then modeled by an LC circuit with 2.0H.

What should C be in order for the LC circuit to have the same resonant frequency as the mass-spring system?


I found the resonant frequency of the mass-spring system to be = 0.56.

I have solved a formula to get this :

C = 1/ (omega^2 * L)

where omega = 0.56. No I am not sure how to find the inductance. Any help.

 

[ideasrule]

The inductance is stated in the problem: it's 2.0H. It's the capacitance that you need to find.

 

[tnutty]

What does the H stand for in 2.0H? Is that the unit for inductance? I am not sure.

 

[sandhi]

H stands for 'Henry'. It is the units of Inductance.