Calculating Spring Constant Using Hooke's Law: A Step-by-Step Guide

Learn how to calculate the spring constant (k) using Hooke's Law with this easy-to-follow guide.

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To find the spring constant (k), use Hooke's Law: k = F / x, where F is the force applied in Newtons (N) and x is the displacement in meters (m). Measure the force and displacement, then divide the force by the displacement to calculate the spring constant.

FAQs & Answers

  1. What is Hooke's Law? Hooke's Law states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position, represented by the equation F = k * x, where F is the force, k is the spring constant, and x is the displacement.
  2. How can I measure the spring constant experimentally? To measure the spring constant experimentally, hang a known weight from the spring, measure the displacement from its resting position, and use the formula k = F / x, where F is the weight in Newtons and x is the displacement in meters.
  3. What units are used for spring constant? The spring constant (k) is measured in Newtons per meter (N/m), indicating how much force is needed to extend or compress the spring by one meter.
  4. Can spring constant vary? Yes, the spring constant can vary depending on the material and dimensions of the spring, as well as its previous usage. Springs can behave non-linearly after being overstretched or compressed beyond their elastic limit.