Chapters 9-12 Flashcards
Arc Length
s=rTheta
degrees to radians
theta(2pi/360)
Angular Velocity (w)
w= theta/t (rad/s)
Tangential Velocity
v=rw (m/s)
Frequency f
f=w/2pi
Period (T)
T= 1/f
Centripetal Acceleration (Ac)
Ac=v^2/r
Centripetal Force (f)
Fc=mAc
Angular Acceleration
a=(W-W0)/(T-T0)
Angular Velocity
w=w0+at
Tangential Acceleration (At)
At=ra
Law of Gravitation
f=G(M1M2/r^2)
Translational Velocity
rolls without slipping
Vcm=rw
Torque
torque = rF
Torque with moment of Inertia
torque = Ia
A rolling object has Translational KE and Rotatinal KE
Translational = K = 1/2mv^2
Rotational = K = 1/2Iw^2
Angular Momentum
rotating fixed axis
L=Iw
Absence of unbalanced torque
I0W0=IW
Deformation
deformation=(f/a)/s
Pressure
p=F/A (n/m^2)
Pressure at depth h
p = pgh
Pascals Principle
Pressure in a liquid is transmotted equally in all directions
Archimedes Principle
Fb=(PfVf)g
Equation of Continuity
A1v1=A2v2