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Inclined plane
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===Slope=== The [[mechanical advantage]] of an inclined plane depends on its ''[[slope]]'', meaning its [[Grade (slope)|gradient]] or steepness. The smaller the slope, the larger the mechanical advantage, and the smaller the force needed to raise a given weight. A plane's slope ''s'' is equal to the difference in height between its two ends, or "''rise''", divided by its horizontal length, or "''run''".<ref name="Handley">{{cite book | last = Handley | first = Brett |author2=David M. Marshall |author3=Craig Coon | title = Principles of Engineering | publisher = Cengage Learning | year = 2011 | pages = 71β73 | url = https://books.google.com/books?id=3YBeXkp-AacC&q=%22inclined+plane%22+slope+angle+%22mechanical+advantage%22&pg=PT91 | isbn = 978-1-4354-2836-2}}</ref> It can also be expressed by the angle the plane makes with the horizontal, <math>\theta</math>. [[File:Inclined plane terminology.svg|thumb|The inclined plane's geometry is based on a [[right triangle]].<ref name="Handley" /> The horizontal length is sometimes called ''Run'', the vertical change in height ''Rise''.]] :<math>\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,</math>
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