Did you know?
Did you know that the spring constant of a spring, denoted by 'k', measures how stiff or stretchy a spring is? It describes the relationship between the force applied on a spring and the resulting extension.
For instance, if a force of 10 N causes a spring to extend by 20 mm, we can calculate the spring constant, 'A', in N/m. Using the formula F = kx (force = spring constant × extension), we can rearrange it to find k = F / x. Therefore, A = 10 N / 0.02 m = 500 N/m.
Furthermore, if we want to determine the extension of the spring when 25 N is applied, we can use the rearranged formula x = F / k. Substituting the values, we get x = 25 N / 500 N/m = 0.05 m or 50 mm.
Lastly, if we are interested in finding the force required to cause an extension of 5 mm, we can use the same equation. Substituting the values, we get F = k × x = 500 N/m × (0.005 m) = 2.5 N. Hence, a force of 2.5 N is needed to cause a 5 mm extension in this spring.
