How do you figure out how far a spring is going to travel at a given frequency?

the equation for natural frequency is f=(1/2pi)*sqrt(k/m) correct? Is that given for 1 inch of spring travel? Does that mean if I change the spring rate the frequency will not change because the spring will just travel a different distance? Is there an equation that includes distance traveled?How do you figure out how far a spring is going to travel at a given frequency?
The natural frequency of springs is independent of travel. In other words travel does not affect the frequency.



You can't figure out how much a spring is going to move based on the natural frequency. Spring deflection is based purely on the applied force and the spring constant. You can, however, determine what the spring constant is if the natural frequency is given.How do you figure out how far a spring is going to travel at a given frequency?
The travel distance is affected by the weight of the spring and the initial power given to it . as youreqation of frequency of oscillation indicates.= the spring constant and the mass of the spring.

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I agree, the distance a spring will travel is independent of the frequency you try to impose upon it. The problem can also be analyzed from the standpoint of energy.