Periodic Time Calculation for Simple Harmonic Motion with a Spring

AI Thread Summary
To calculate the periodic time of a mass-spring system in simple harmonic motion, the angular frequency (ω) must be determined using the formula ω = √(k/m), where k is the spring constant and m is the mass. For a mass of 0.61 kg and a spring constant of 27 N/m, ω can be calculated as approximately 2.8 rad/s. Once ω is found, the periodic time (T) can be derived using the relationship T = 2π/ω. The discussion emphasizes the need to refer to textbook resources for understanding the connections between frequency, mass, and spring constant. This approach ensures accurate calculations for periodic time in SHM scenarios.
Ch3m_
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Homework Statement


A 0.61 kg mass attached to a spring (k = 27 N m-1) is performing SHM on a smooth horizontal surface.
Calculate the periodic time of these oscillations.

Homework Equations


ω=2π/T
ω=2πƒ

The Attempt at a Solution


I think I need to find out the angular frequency ω of the oscillations in order to calculate the periodic time using ω=2π/T, but I have no idea how to calculate ω since it doesn't give you the frequency ƒ ?
 
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Ch3m_ said:
I have no idea how to calculate ω since it doesn't give you the frequency ƒ ?
Check your textbook for the relationship between frequency, mass, and spring constant.
 
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