Simple Harmonic Motion-Period of oscillations

[vrobins1]

Homework Statement

What is the period of oscillations of a spring fixed to the ceiling at one end and set in motion by attaching a mass 10kg to the other end? The spring constant is 20 N/m.

Homework Equations

I used equations found in my lab book for Simple Harmonic Motion.

ω=√k/m

Then I used the equation ω=2pi/T to solve for T

The Attempt at a Solution

I used equations found in my lab book for Simple Harmonic Motion.
First I found
ω according to ω=√k/m
ω=√20/10
ω=√2
ω=1.41

Then I used the equation ω=2pi/T to solve for T
1.41 = 2pi/T
1.41(T)=2pi
T=2pi/1.41
T=4
I rounded T to only 1 significant figure, the same as the given mass and spring constant.

I have a final answer (4) but I am not sure I did this problem correctly, and I am unsure of my algebra where I solved for T. Also, would it be rounded to 1 significant figure?
Any insight would be great. Thanks!

 

[Redbelly98]

Looks good to me.

 

[thomate1]

Your solution is correct. The period of oscillations for this system is 4 seconds, given the mass and spring constant provided. It is appropriate to round to 1 significant figure, as that is consistent with the given values. Your algebra looks correct as well. Good job!