Formula List
This page contains reference equations from mathematics and
physics. Just click on the link below to go to the appropriate topic.
ALGEBRA
The quadratic equation:
Triangle
Circle
Area
Circumference
Sphere
Surface Area:
Volume:
Cylinder
Surface
Area:
Volume:
radj = side adjacent to angle theta

rhyp
= hypotenuse of right triangle
ropp = side opposite angle theta

LINEAR: Assume a = constant

ANGULAR: Assume alpha = constant
WORK AND ENERGY
WF = Fx(x)
where WF =
work done by the force F, x = displacement of the object under consideration, and
Fx = component of the force F in the direction of the displacement x (how much of
F points in the direction of the object’s motion)
Work-Energy
Theorem:
Wtotal = change(KE)
= KEf – KEi
Kinetic Energy (Energy of Motion):

Potential Energy (Energy of Position):
Conservation of Energy:
KEi + PEi = KEf + PEf – Wnc
where Wnc is the work done by any nonconservative forces (such as friction orexplosive
forces).
CIRCULAR MOTION
where
Fc = component of force in the radially inward (centripetal) direction
Angular:
cylindrical shell or ring of radius R and mass M about an axis through its center
and along the axis of symmetry
solid cylinder or disk of radius R and mass M about its axis of symmetry
thin-shelled hollow sphere of radius R and mass M about an axis through its center
solid sphere of radius R and mass M about an axis through its center
thin rod of length L and mass M about an axis perpendicular to the rod at one
end
thin rod of length L and mass M about an axis perpendicular to the rod through
its center