Formula List

This page contains reference equations from mathematics and physics. Just click on the link below to go to the appropriate topic.

MATH:
Algebra
Geometry
Trigonometry

PHYSICS:
Kinematics
Newton’s 2nd Law
Work and Energy
Circular Motion
Conservation of Momentum
Moments of Inertia

ALGEBRA

The quadratic equation:

form1

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Geometry

Triangle form2 form3

Circle form4 Area form5 Circumferenceform6

Sphere form7 Surface Area:form8Volume: form9

Cylinder form10Surface Area:form11Volume:form12

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TRIGONOMETRY



radj = side adjacent to angle theta form13
rhyp = hypotenuse of right triangle
ropp = side opposite angle theta


form14 form15 form16 form17

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KINEMATICS

LINEAR: Assume a = constant
form18 form19 form20 form21

ANGULAR: Assume alpha = constant
form22 form23 form24 form25

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NEWTON’S 2nd LAW

Linear:
form26

Angular:
form27

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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):

form28

Potential Energy (Energy of Position):

form29

Conservation of Energy:

KEi + PEi = KEf + PEf – Wnc

where Wnc is the work done by any nonconservative forces (such as friction orexplosive forces).

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CIRCULAR MOTION
form30where Fc = component of force in the radially inward (centripetal) direction

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CONSERVATION OF MOMENTUM

Linear:
form31

Angular:
form32

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MOMENTS OF INERTIA

cylindrical shell or ring of radius R and mass M about an axis through its center and along the axis of symmetry form33

solid cylinder or disk of radius R and mass M about its axis of symmetry
form34

thin-shelled hollow sphere of radius R and mass M about an axis through its center form35

solid sphere of radius R and mass M about an axis through its center
form36

thin rod of length L and mass M about an axis perpendicular to the rod at one end form37

thin rod of length L and mass M about an axis perpendicular to the rod through its center form38

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