Hooke’s Law describes the linear relationship between the restoring force ($F$) exerted by an ideal spring and its displacement ($x$) from the equilibrium position.

The complete formula for Hooke’s Law is $F = -kx$. The negative sign indicates that the restoring force ($F$) is always in the opposite direction to the displacement ($x$). However, since this calculation tool focuses only on finding the magnitude (absolute value) of the quantities, we use the simplified formula: $F = kx$.

In the formula:

• $F$ is the Restoring Force (unit: Newton, N). This is the force exerted by the spring to return the object to its equilibrium position.
• $k$ is the Spring Constant (unit: Newtons per meter, N/m). This value characterizes the stiffness of the spring; a stiffer spring will have a larger $k$.
• $x$ is the Displacement (unit: meters, m). This is the distance the spring is stretched or compressed from its natural length.

This law is fundamental in designing suspension systems, spring balances, and many other engineering applications.

1. Select the variable you wish to calculate (Force $F$, Spring Constant $k$, or Displacement $x$) by checking the corresponding radio button above.
2. Enter the known values for the other two variables into the input fields. Ensure standard units (N, N/m, m) are used.
3. Click the Calculate button to view the result. The tool will display the rounded result and the correct unit.
4. If you want to calculate a different variable, simply select it and enter the new values.