(a) Derive a general expression for the energy difference
between any two neighboring rotational state (i.e, the difference
in energy between the L abd L+L states). (b) How does the energy
difference change as L increases? (c) How does the energy
difference change if the radius, r, of the rotating particle
increases?
Which model, exponential failure rate or Weibull failure rate is
suitable to capture the wearout
process of a pump bearing? (justify). Using MS Excel and simulated
data, estimate the
reliability a pump bearing for every month over 10 years of
operations (upload the MS
Excel file on the D2L along with your answer sheet).
A power supply consists of three rectifiers in series. Each
rectifier has a Weibull failure distribution with β equal to 2.1.
However, they have different characteristic lifetimes given by
12,000 hr, 18,500 hr, and 21,500 hr. Find the MTTF and the design
life of the power supply corresponding to a reliability of 0.90.
After you calculate both values add them together and provide it as
your answer to this problem. (two decimals)
Derive the following expression for the change in
boiling point of water due to the addition of a solute from first
principles. Name each variable and constant you introduce, and
clearly explain any assumptions.
Xsolute = ΔrHvap/R ) *
(ΔTbp/T02)
Re-derive an expression for average NuL (= hLL/k) for flow over
a flat plate by integrating the expression for average hL for a
mixed BL. For Rex,cr, use 123456 (keeping the same sequence), and
find the constant B (in Eq. 7.38). Also show that for Rex,cr =
500,000, B is indeed equal to 871.
eq. 7.38=> NuL=(0.037 ReL^(4/5)-B)Pr^(1/3)
0.6<=Pr<=60
Rex,c <= ReL <=108
a. Derive the expression for the capacitance of a
parallel plate having two dielectric
field.
b. Write a short note on the magnetization of the
following magnetic material?
i. Diamagnetic
ii. Paramagnetic
iii. Ferromagnetic
c. Derive the
expression for torque developed in a rectangular closed circuit
current (I) in a
uniform field?
Derive an expression for the total number of stars between
masses M1 and M2, where M1 < M2.
Can the Salpeter IMF extend to arbitrarily low mass stars?
Justify your answer quantitatively
Derive an expression for the total mass in stars formed with
masses between M1 and M2, where M1 < M2.
The time until failure for an electronic switch has an
exponential distribution with an average time to failure of 4
years, so that λ =
1
4
= 0.25. (Round your answers to four decimal places.)
(a)
What is the probability that this type of switch fails before
year 3?
(b)
What is the probability that this type of switch will fail after
5 years?
(c)
If two such switches are used in an appliance, what is the
probability that...