# Application Area 9: Appliance Design

A mechanical accelerometer is used to measure the acceleration of a rocket test sled. It contains a linear spring-damper system. See the image below. By tuning the stiffness and damping, the accelerometer can be designed to estimate the acceleration it feels within an acceptable time.

- Objective
- We can compute the deviation of any system response $x$ from its target value ${x}^{*}$ as follows:
- Design Variables
- The stiffness of the spring, $k$ , and its damping, $c$ , are the design variables.
- Results
- By properly selecting the spring stiffness and damping, the accelerometer can be designed to respond in the desired time frame.