Is the Oscillation Period Formula for an Elastic Band the Same as for a Spring?

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The formula for the period of oscillation for a mass attached to an elastic band can be similar to that of a spring, expressed as T=2∏(√m/k). However, this equivalence holds only if the assumptions made during the derivation for the spring also apply to the elastic band. Factors such as the material properties and the degree of elasticity must be considered. If the elastic band behaves linearly and adheres to Hooke's law, the formula is valid. Therefore, the conditions of the oscillation system are crucial for the accuracy of the formula.
Tommy1995
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Assume that a mass is attached to an elastic band and then allowed to oscillate.

Would the formula for the period of oscillation be that as the same of the formula for the period of the oscillation for a spring.

T=2∏(√m/k) ?
 
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Only if all the approximations you made concerning the spring when deriving this formula also apply to the elastic band.
 

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