Strain gauges are placed at two locations on a wing that is being tested in a wind tunnel. The first gauge is near the fixed base of the wing and the other gauge is near the free wing tip. Two tests are performed:

(a) the wing vibration is recorded for low velocity laminar flow and (b) for high velocity turbulent flow.

For each of these tests, discuss the following: (i) Describe and compare the time histories you would expect to see recorded by each strain gauge; (ii) Discuss the type of cross-correlation \(R_{X_{1} X_{2}}(\tau)\) you would expect between \(X_{1}\) and \(X_{2}\), the locations of the gauges.