FACULTY OF ENGINEERING
Laser Doppler Velocimetry
Hot Wire Anemometer
Presented by:
Mohamed Aly El-Safi Balbaa
TA Mechanical Engineering Dept.
Alexandria University
Mohamed Ibrahim Rashad El-Srougy
TA Mathematics & Physics Dept.
Alexandria University
Ahmed
ME 365 Homework 5 Solution
Fall 2008
Problem No. 1
(a)To compute the standard deviation x of N measurements x1, ,xN , one needs the
sum
(x x )
i
2
. Prove that this sum can be rewritten as:
(x x )
2
i
Solution:
2
= ( xi ) N x 2 .
(x x ) = (x
2
2
i
i
2