definition of acceleration
a=?v/t
instantaneous velocity
vx=vo+at
displacement function
?d=vot+1/2at^2
velocity no time
vx^2=vo^2+2a?d
2nd law
a=F/m
friction
f=?N
centripetal acceleration
ac=v^2/r
momentum
p=mv
impulse
change in momentum
?p=Ft
?p=m?v
linear kinetic energy
K=1/2mv^2
work-energy theorem
?E=W
work equation
W= Fdcos?
power, general
P=?E/t
mechanical power
P=W/t
rotational displacement function
?=?o+?ot+1/2?t^2
instantaneous rotational velocity
?=?o+?t
displacement for harmonic motion
x=Acos(2?ft)
angular acceleration
?=??/I
net torque
??=I?
torque & force
?=rFsin?
angular momentum
L=I?
change in angular momentum
?L=?t
rotational kinetic energy
K=1/2I?^2
Hooke's Law
Fs=kx
spring potential energy
elastic potential energy
Us=1/2kx^2
density
?=m/V
gravitational potential energy
?Ug=mg?y
period with angular velocity
T=2?/?
period with frequency
T=1/f
period of a spring
Ts=2??m/k
period of a pendulum
Tp=2??l/g
universal gravitation
Fg=Gm1m2/r^2
weight
g=Fg/m
gravitational acceleration for any planet
g=GM/r^2
electrical force
force between charges
Fe=kq1q2/r^2
current in terms of charge
I=?q/?t
resistivity
R=?l/A
Ohm's Law
I=V/R
electrical power
P=IV
resistance in series
Rs=R1+R2+...Rn
resistance in parallel
1/Rp=1/R1+1/R2+...1/Rn
wavespeed
?=v/f
time to fall
t=?2h/g
x-component of velocity
vx=vocos?
y-component of velocity
voy=vosin?
net force for elevator
?F=Fs+-mg
weight parallel
W//=Wsin?
weight perpendicular
W-I=Wcos?
area under F vs. x graph
work
area under F vs. t graph
impulse
critical velocity at top of circle
v=?gr
maximum velocity on a road curve
v=?r?g
satellite velocity
v=?GM/r