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Simple Harmonic Motion-Period of oscillations

  1. Nov 17, 2008 #1
    1. The problem statement, all variables and given/known data

    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.

    2. Relevant 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


    3. 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!
     
  2. jcsd
  3. Nov 17, 2008 #2

    Redbelly98

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    Looks good to me.
     
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