Question

In the first set of problems. Units and Dimensional Analysis Challenge Problem Solutions - Problem 1: How did they find (b/g)^1/2 ?

Answer 1

please give the link of question.

Answer 2

http://ocw.mit.edu/courses/physics/8-01sc-physics-i-classical-mechanics-fall-2010/units-and-dimensional-analysis/MIT8_01SC_problems01_soln.pdf

Answer 3

-3V+W+X+2(Y+Z)=0
Then, on solving other two equation we get
V=0
x=-1/2
on substituting it in first equation we get
W+(-1/2)+2(Y+Z)=0
or, W+2(Y+Z)=1/2 ................................ (1)

Now since from equation of continuity we have

\[hA_1=vA_2t\]

or \[t=\frac{h}{v} \frac{A_1}{A_2}\]

from here we get power of A1 is 1 and power of A2 is -1.
hence y=1 and z=-1

put it in equation (1) we get w=1/2.

Answer 4

Thanks a lot!

Answer 5

you are most welcome.