PHYSICS 5B Lecture Notes - Lecture 12: Perfect Fluid, Angular Frequency
Viscousflow
-ideal fluid ⇒obeying Bernoulli 's equation (no How resistance )
.in general there are How resistance :
XHow ot honey and flow of water In atube are very different
e± flow In high temperature is faster introduce vicosity (Sl unit :Pa .s)Y
n
Voltage P top <v>P
§mm,f
¥0,5
"""
op= pressure needed to keep the fluid How
7to
oP= 8Hq(
F) <v>
x-T
Vl÷=R I
.
.
op= 8am IF <v>Recall volume How rate
Poiseuille's Equation
<v>=01=122 Q= Av mm
8mL =
17122013122
ca>=Acv >#⇒<a>="f"z¥ <a>~R4
ablood flow In human arteries .
Capillary (R=3mm )L=Imm
How rate leaving The heart I5L/min =8×10
'5¥
#of capillaries =3×109 Qap =Qyjatn =85×1%5 =3×10
- ' 4m÷
OP .
-I
=
8.25×10-3 (1×10
:3) (3×10
-'4) =2000 Pa =15 mmHg
17124
-3.14 x(3×10
'6) 4
8hL
Oscillationsandwaves
periodic motion
aoscillation of mass attached to aspring
motion of apendulum
I
=Rest
Illum equilibrium
=-
##
Istretched
=
=wm-| m
¥
a#
-
÷A
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#
/
/
am
"
X~a
rest
Many periodic Motions can be describe by simple harmonic motion
X=displacement from equilibrium
×^
X=Acoscwt +f)
A-
c- T-1
T.
-period of
the oscillation
oµ>tw= angular frequency
f. -phase angle
v
