Formulas and Equations

Formulas and Equations

general motion equations
friction
ideal gas law
acceleration due to gravity at a given altitude

Motion Equations

Linear motion

Rotational motion about a fixed axis

linear velocity v = dx/dt angular velocity w = dq/dt
linear acceleration a = dv/dt angular acceleration a = dw/dt
resultant force Sf = m*a resultant force St = I*a
if a = constant, then x - xo = vo*t + 1/2(a*t2) if a = constant, then w = wo + a*t
v = vo + a*t q - qo = wo*t + 1/2 a*t2
v2 = vo2 + 2a(x - xo) w2 = wo2 +2a(q - qo)
work fwork.jpg (1404 bytes) work awork.jpg (990 bytes)
kinetic energy K = 1/2 m * v2 kinetic energy K = 1/2 I*w2
power P = F*v power P = t*w
linear momentum p = m*v angular momentum L = I*w
resultant force F = dp/dt resultant torque t = dL/dt

Friction

force of static friction fs<=msN
force of kinetic friction fk=mkN

Ideal Gas Law

Chemistry book, p. 465


Acceleration due to gravity at a given altitude

big physics book, p.362


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