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50 Cards in this Set

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Mean
u=Exi/N
Standard Deviation
St Dev= Sq. root( E(xi-u)^2/(N-1) )
displacement
disp=(fin. pos.)-(init. pos.)
path length
s=total distance covered
speed at time t when acceleration is constant
v(t)=at+Vo
position at time t when acceleration is constant
S(t)=.5at^2+(Vo)t+So
average acceleration
a=(change in V)/(change in t)
Newton's 2nd Law
Fnetext=m*a where Fnetext is the sum of all forces acting on the object
Newton's 1st Law
a=0 if Fnetext=0
Newton's 3rd Law
(Force on 1 by 2)= (-Force on 2 by 1)
Weight
W=Fg=mg
m=mass of object
g=accel due to gravity (9.8m/s^2)
Force of friction
f=uN
Work
W=Fd
Kinetic Energy
KE=.5(m)(v^2)
Potential Energy
PE=mgh
Conservation of Mechanical Energy
(Change in KE)=(-Change n PE)
Ideal Mechanical Advantage
IMA=Se/Sr
Actual Mechanical Advantage
AMA=Fr/Fe
Torque
torque=Force*distance
Temperature Conversions
Tf=(9/5)Tc+32
Tc=(5/9)(Tf-32)
Tk=(Tc+273)
First Law of Thermodynamics
-energy is conserved
(Change in U)=Q+W
U=internal energy of a thing
Q=heat added to the thing
W=work done on the thing
First Law of Thermodynamics
(continued)
Q=sm(change in T)
Q-heat added to the thing
s=specific heat of the thing
m=mass of the thing
(Change in T)=change in temp of the thing
Energy Conversion
4.186 J/cal
Heat transfer by conduction
Q/t=(AK(T2-T1))/d
Heat transfer by radiation
Q/t=eoA(T2^4 - T1^4)
Pressure (of fluids)
P=F/A
Absolute (hydrostatic) Press.
Pabs=Po+dgh
usually Po=1atm
d=density of liquid
h=depth in liquid
Gauge (hydrostatic) Pressure
P=dgh
Poiseuille's Law
FR=(P1-P2)(pie*r^4/8xL)
FR=flow rate x=viscosity
-P1 and P2 are pressures at the end of a tube with length L and radius R
Resistance to fluid flow
R=8xL/(pie*r^4)
x stills =viscosity
Continuity Equation
-flow rate remains constant for an incompressible fluid
A1V1=A2V2
A=area V=flow speed
Ideal Gas Law
PV=nRT P=pressure
V=volume n=# of moles T=temp R=8.32 J/mol-deg
Boyle's Law
special case of ideal gas law
-n and t are fixed
P(initial)V(initial)= P(final)V(final)
Critical Velocity for onset of turbulence in a tube
Vc=Rx/dr x=viscosity
d=fluids density
r=tubes radius
R=reynold's # (about 1000)
Laplace's Law of wall tension
-(for cylindrical membranes)
T=Pr
Laplace's Law of wall tension
-(for spherical membranes)
T=(Pr)/2
Bernoulli's Equation
-energy per volume of ideal fluid remains constant
E/V=.5d(v^2)+dgh+P=constant

.5d(v1^2)+dg(h1)+P1=
.5d(v2^2)+dg(h2)+P2
Coloumb's Law
F=(K(q1)(q2))/r^2
F=force b/w charges q1 & q2 separated by distance r
K=9*10^9 Nm^2/C^2
Current
I=(change in Q)/(change in t)

charge per time
Relation b/w voltage and electric potential energy
PE=qV
Faraday's Law
V=-N(change n z)/(change n t)
N=# of windings in wire loop
z=magnetic flux
Magnetic Flux through a wire loop
z=BA
Ohm's Law
I=V/R V=RI
I=current in amps
V=voltage in volts
R=resistance measured in ohms
Power dissipated by resistor
P=IV P=(V^2)/R
Equivalent Resistance for series circuit
Req=R1+R2+R3....
Equivalent Resistance for parallel circuit
1/Req=1/R1+1/R2+1/R3....
Frequency of Household AC current
60 Hz
Current at threshold of feeling
1 mA
Maximum current harmless to humans
5 mA
Minimum current that can be fatal to a human
100-300 mA