# Simple Harmonic Motion-Period of oscillations

## 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!

## Answers and Replies

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Redbelly98
Staff Emeritus
Homework Helper
Looks good to me.