Authors
Alexandre Vial,
Title
Fall with linear drag and Wien's displacement law: approximate solution and Lambert function
In
Eur. J. Phys.
Volume
33
Issue
4
Pages
751–755
Publisher
IOP
Year
2012
Publisher's URL
http://stacks.iop.org/0143-0807/33/751
Indexed by
Abstract
We present an approximate solution for the downward time of travel in the case of a mass falling with a linear drag force. We show how a quasi-analytical solution implying the Lambert function can be found. We also show that solving the previous problem is equivalent to the search for Wien’s displacement law. These results can be of interest for undergraduate students, as they show that some transcendental equations found in physics may be solved without purely numerical methods. Moreover, as will be seen in the case of Wien’s displacement law, solutions based on series expansion can be very accurate even with few terms.
Affiliations
Offprint