A force of 12 N compresses the steel spring 7.5 cm. Determine the spring rate

To calculate the stiffness of a compressed spring, we will use the following formula (Hooke’s law): Fcont = F = k * Δx and k = F / Δx.

Variables: F – compressive force (F = 12 N); Δx – compression, deformation of the spring (Δx = 7.5 cm; in SI system Δx = 0.075 m).

Let’s calculate: k = F / Δx = 12 / 0.075 = 160 N / m.

Answer: The spring rate is 160 N / m.

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