This is a posting of Qun Fan University of Rochester Ph.D. thesis, 1996 (A. Bodek, advisor). We describe a measurement of the charge asymmetry as a function of lepton rapidity in $W\rightarrow\mu\nu,e\nu$ produced in $p\overline{p}$ collisions at \mbox{$\sqrt{s}=1.8$~TeV}. The data sample collected by the CDF detector during 1992-1995 consists of $\approx 110k$ events corresponding to $\approx 111~pb^{-1}$ of integrated luminosity. This is a five-fold increase in statistics over the previous CDF analysis~\cite{Old_ASYM}. A new analysis technique using silicon tracking in conjunction with shower centroid determination is used to extend the measurement to higher lepton rapidity up to $|y_l|=2.4$. In addition, the forward muon detector yields data at $1.9<|y_l|<2.5$. The substantial reduction in the errors and the large increase in the kinematic range have greatly improved the discriminating power between various proton structure functions. The asymmetry data constrain the slope of ratio of the $d$ and $u$ quark momentum distributions in the proton over the $x$ range $0.006$ and $0.34$ at $Q^2 \approx M_W^2$. Although the data in the central region are reproduced by modern parton distributions, there are differences in the high rapidity regions, which imply that further tuning of the the slope of $d/u$ ratio versus x is required. Posted to /cdf/pub/thesis/cdf5566_WASYM.ps http://www-cdf.fnal.gov/thesis/cdf5566_WASYM.ps Posted by bodek@cdfsga.fnal.gov