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CalcTree
This calculator calculates equations commonly used for the Otto Power Cycle.

Inputs



k
:4.00



r(p)
:5.00



V(0)
:60.00atm



V(1)
:125.00atm



V(2)
:60.00atm



V(3)
:100.00atm



V(4)
:80.00atm


Output



r(k) (eqn 1)
:2.08


rk, equation 1=V1V2r_{k,\ equation\ 1}=\frac{V_1}{V_2}


r(k) (eqn 2)
:101.00


rk, equation 2=1+%c%cr_{k,\ equation\ 2}=\frac{1+\%c}{\%c}


r(k) (eqn 3)
:0.80


rk, equation 3=rer_{k,\ equation\ 3}=r_e


r(e)
:0.80



re=V4V3r_e=\frac{V_4}{V_3}


c
:1.00


c=V2V0c=\frac{V_2}{V_0}


η
:0.89


η=11rkk1\eta=1-\frac{1}{r_k^{k-1}}


MEP
:16.03


MEP=[(rp1)(rkk1)](k1)(11rk)MEP=\frac{[(r_p-1)(r_k^{k-1})]}{(k-1)(1-\frac{1}{r_k})}

The following are the variables for the equations

Otto Cycle

In using the calculators and inputting values above, refer to Figure 1 and the different states of the Otto cycle.
Figure 1: Pressure vs Volume Graph for an Otto Cycle



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