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This page provides links to various web pages containing review equations for several areas of mathematics. These pages are not intended to explain and do examples of the associated mathematics—please see a mathematics text for that. However, the links below will provide lists of useful relations and definitions. Click on the topic below to go to the relevant page.
Algebra
Geometry
Trigonometry
Basic Physics Equations
ALGEBRA
GEOMETRY
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Triangle
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Sum of angles = 180o
Area:
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Circle
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Circumference:
Area:
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Sphere
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Surface Area:
Volume:
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Cylinder
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Surface Area:
Volume:
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TRIGONOMETRY
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ropp = side opposite angle q
radj = side adjacent to angle q
rhyp = hypotenuse of right triangle
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KINEMATICS
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LINEAR: Assume a = constant
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ANGULAR: Assume a = constant
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NEWTON’S 2nd LAW
Angular:
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 = DKE = 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 or explosive forces).
CIRCULAR MOTION
CONSERVATION OF MOMENTUM
Linear:
Angular:
MOMENTS OF INERTIA
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Description of Object
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Moment of Inertia
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cylindrical shell or ring of radius R and mass M about an axis through its center and along the axis of symmetry
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solid cylinder or disk of radius R and mass M about its axis of symmetry
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thin-shelled hollow sphere of radius R and mass M about an axis through its center
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solid sphere of radius R and mass M about an axis through its center
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thin rod of length L and mass M about an axis perpendicular to the rod at one end
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thin rod of length L and mass M about an axis perpendicular to the rod through its center
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