How to Calculate the Spring Constant from Frequency and Mass

[ricoxg]

Here is the question:

-When a mass of 26 g is attached to a certain
spring, it makes 20 complete vibrations in
3.1 s.
What is the spring constant of the spring?
Answer in units of N/m.

My teacher gave me the formula to find the spring constant
but i can't seem to get it right!?

W=Sq Root of k/m

w=work
sq root= square root sign (idk how to do the sign sorry)
k=constant
m=mass

 

[Spinnor]

Here is the question:

-When a mass of 26 g is attached to a certain
spring, it makes 20 complete vibrations in
3.1 s.
What is the spring constant of the spring?
Answer in units of N/m.

My teacher gave me the formula to find the spring constant
but i can't seem to get it right!?

W=Sq Root of k/m

w=work
sq root= square root sign (idk how to do the sign sorry)
k=constant
m=mass

I did a google search, "frequency mass spring constant"

The first result may help:

http://hyperphysics.phy-astr.gsu.edu/HBASE/shm2.html

 

[thebigstar25]

w is not work .. It is the angular frequency .. So your k = w^2 * m .. You have the mass m and w is given as w = 2*pi*f ,where f is the frequency .. Since you have no. Of cycles 20 at time 3.1 you can easily compute the frequency f and from there computing w and then get your k ..