From first principles, derive the expression for the measurement
of time as observed from a reference...
From first principles, derive the expression for the measurement
of time as observed from a reference inertial frame S' moving at a
relativistic speed v in the x direction to another inertial frame
S
Working from first principles, derive an expression for the
stagnation temperature of a perfect gas, in terms of flight
velocity, specific heat at constant pressure and the ambient
temperature.
Working from first principles, derive an expression for the
efficiency of an Otto Cycle engine in terms of compression ratio.
Sketch the P-V diagram for this cycle and annotate it using the
same station numbers used in your derivation. State why the
efficiency must be less than that of the Carnot Cycle.
Derive from the first principles an expression for the
reflection coefficient in term of
surge impedance of incident line, Z1 and the transmitted line,
Z2.
Working from first principles, derive an expression for the
nozzle exit velocity for an ideal ramjet in terms of: the flight
velocity; the peak-post-combustor stagnation temperature; the
ambient stagnation temperature. State any assumptions you use.
Please show working out and describe what is
done
Derive formula in terms of respective
paraneters
Derive the expression for the time averaged heating in the metal
in which AC current of frequency ω flows – use the expression for
the AC conductivity and P= ⋅EJ relation for instant power
Derive the Boltzmann distribution from first principles
(maximizing weight). Why is the Boltzmann distribution so
important, explain what it is and how it is used.
In work design measurement study, explain in your own words, the
following terms:
Observed time (OT)
Normal time (NT)
Standard time (ST)
An industrial engineer working for you is given an assignment to
determine the standard time (ST) for welding 2 metal parts together
as a job function.
Your industrial engineer took 5 independent observations of the
same welding job function and recorded the corresponding time it
took to complete the job function. He complied the following table
of data:
Observation Welding
time...