Question

What is the range of thrust producing engine?

(a) RT=\(\big[\frac{V_{mdi}}{C_T}E_{max}\big]\big\{\frac{2u^4}{u^4+1}\big\}\)lnω

(b) RT=\(\big[\frac{V_{mdi}}{C_T}\big]\big\{\frac{2u^3}{u^4+1}\big\}\)lnω

(c) RT=\(\big[\frac{V_{mdi}}{C_T}E_{max}\big]\big\{\frac{2u^3}{u^4+1}\big\}\)lnω

(d) RT=\(\big[\frac{V_{mdi}}{C_T}E_{max}\big]\big\{\frac{u^3}{u^4+1}\big\}\)lnω

I got this question at a job interview.

This is a very interesting question from Cruising Performance topic in chapter Cruising Performance of Aircraft Performance

Answer 1

The correct answer is (c) RT=\(\big[\frac{V_{mdi}}{C_T}E_{max}\big]\big\{\frac{2u^3}{u^4+1}\big\}\)lnω

The explanation is: The correct equation for range of thrust producing engine is given by the equation RT=\(\big[\frac{V_{mdi}}{C_T}E_{max}\big]\big\{\frac{2u^3}{u^4+1}\big\}\)lnω where V is true airspeed, C is specific fuel consumption, Emax is endurance  and ω is fuel ratio.