E= 43.94. Please write all steps legibly in the equation to include the answer b

Question

E= 43.94. Please write all steps legibly in the equation to include the answer be sure include a basic gragh of the answer you came up with if possible.

The Efficiency of an Engine OTTO CYCLE EFFICIENCY 0.7 0.6 0.5 0.4 0.3 0.2 0.1 6 8 10 12 1416 18 20 COMPRESSION RATIO An approximate equation for the efficiency E (in percent) of an engine is: (1-3 E-100 Where R is the compression ratio. Find Rif E-43.94. Round the answer to two decimal places Note: if [a]-2, [e1-1, and [d]-3, then 4 [a], [e][d]:42.13 rk this custom problem about the exponential and logarithmic functions using the techniques you learned in this module.

Explanation / Answer

An approximate equation for the efficiency (E) of an engine is E = 100.(1- 1/5R2) = 100(1-1/R2/5) = 100.(1-R-2/5). If E = 43.94, then we have 100.(1-R-2/5) = 43.94 or, 1-R-2/5 = 43.94/100 = 0.4394 so that R-2/5 = 1-0.4394 = 0.5606 . Then R = ( 0.5606)-5/2 = 1/( 0.5606)5/2 = 1/ 1/0.235305855 = 4.249788005 = 4.25 ( on rounding off to 2 decimal places).

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