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## 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!