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Booster engine
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==Calculating tractive effort and operating speeds== A rough calculation of booster tractive effort could be made with the following formula:<ref>{{cite magazine |url=https://archive.org/details/sim_railway-locomotives-and-cars_1929-07_103_7/page/443/mode/1up?view=theater |title=Exhibit "G'—Formula for Computing Tractive Effort of Locomotive Booster |magazine=Railway Mechanical Engineer |volume=103 |issue=7 |date=July 1929|publisher=Simmons-Boardman Publishing Corporation |page=443 |via=Internet Archive }}</ref> <math display=block>t = \frac {cd^2spr} {w},</math> where * ''t'' is tractive effort in [[Pound (force)|pound-force]] * ''c'' is the coefficient representing mean effective pressure, normally set to 0.80 * ''d'' is the [[piston]] diameter in inches ([[bore (engine)|bore]]) * ''s'' is the piston stroke in inches * ''p'' is the working pressure in [[pounds per square inch]] * ''r'' is the booster gear ratio * ''w'' is the diameter of the trailing wheels to which the booster is geared in inches The typical locomotive booster employed a pair of {{convert|10|in||adj=mid|-bore}} by {{convert|12|in||adj=mid|-stroke}} cylinders. Available gear ratios and associated operating speeds for both the Franklin type C and type E booster models are detailed in the table below. {| class=wikitable style=text-align:center |+ Locomotive booster gear ratios and associated operating speeds<ref name="BoosterTest1" /><ref name="BoosterTest2" /> ! ! scope=col | Gear ratio ! scope=col | Maximum cut-in speed ! scope=col | Maximum operating speed |- ! scope=row | Franklin Type C-1 & C-2 | 2.571 | {{cvt|12|mph}} | {{cvt|21|mph}} |- ! rowspan="3" scope=row | Franklin Type E & E-1 | 2.71 | {{cvt|15|mph}} | {{cvt|25|mph}} |- | 2.25 | {{cvt|18.5|mph}} | {{cvt|30|mph}} |- | 2.00 | {{cvt|22|mph}} | {{cvt|35|mph}} |}
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