A rubber cord of length L, which is a known state function L (T, F) of the temperature T of the cord and of the forces of magnitude F applied at each end to stretch it. Two physical properties of the cord are:

A liquid enters into a funnel with a laminar flow of velocity v in a tube of diameter d. The funnel is a cone of opening angle α. The cone axis is vertical. Determine how much the length of the cord varies if its temperature changes by ΔT and at the same time the force F changes by ΔF. Assume that ΔT ≪ T and ΔF ≪ F. Express ΔL in terms of E and α.

Transcribed Image Text:

L a) The Young modulus, defined as E = b) the thermal expansion coefficient α = ƏL OF) where A is the cord cross section area. ƏF 1 8L LOT