Equations Included in the Full Version | EquationLab | Boost Exam Grades in High School Physics and Maths

Mechanics

Velocity

v = \frac{d}{t}

Acceleration

a = \frac{v - u}{t}

Newton's Second Law

F = m a

Weight

W = m g

Hooke's Law

F = k x

Moments

M = F d

Pressure

P = \frac{F}{A}

Work Done

E_{w} = F d

Potential Energy

E_{p} = m g h

Kinetic Energy

E_{k} = \frac{1}{2} m v^{2}

Universal Law of Gravitation

F = G \frac{m_{1} m_{2}}{r^{2}}

Heat

Heat Energy and Specific Heat Capacity

E_{h} = m c (T_{2} - T_{1})

Latent Heat of Fusion

E_{h} = m L_{F}

Latent Heat of Vaporisation

E_{h} = m L_{v}

Waves and Radiation

Wave Equation

v = f λ

Wave Period

T = \frac{1}{f}

Photon Energy

E = h f

Electricity

Charge

Q = I t

Ohm's Law

V = I R

Electric Field Energy

E = Q V

Resistance of a Wire

R = \frac{ρ l}{A}

Electrical Power

P = I V

P = \frac{V^{2}}{R}

P = I^{2} R

Voltage Dividers

\frac{V_{1}}{V_{2}} = \frac{R_{1}}{R_{2}}

Voltage Gain

A_{v} = \frac{V_{out}}{V_{in}}

Power Gain

G_{p} = \frac{P_{out}}{P_{in}}

Transformer Ratios

\frac{N_{p}}{N_{s}} = \frac{V_{p}}{V_{s}}

\frac{N_{p}}{N_{s}} = \frac{I_{s}}{I_{p}}

\frac{V_{p}}{V_{s}} = \frac{I_{s}}{I_{p}}

Total Resistance of Resistors in Series

R_{T} = R_{1} + R_{2} + R_{3} + ...

Total Resistance of Resistors in Parallel

\frac{1}{R_{T}} = \frac{1}{R_{1}} + \frac{1}{R_{2}} + ...

Power and Efficiency

Power

P = \frac{E}{t}

Efficiency

η = \frac{E_{out}}{E_{in}}

Power Efficiency

η = \frac{P_{out}}{P_{in}}

Optics

Lens Power

P = \frac{1}{f}

Magnification

M = \frac{h_{image}}{h_{object}}

Nuclear Physics

Activity

A = \frac{N}{t}

Absorbed Dose

D = \frac{E}{m}

Equivalent Dose

H = D w_{R}

Equivalent Dose Rate

\overset{\cdot}{H} = \frac{H}{t}

Half Life

A_{n} = A_{o} \frac{1}{2^{n}}

Mass Energy Equivalence

E = m c^{2}

Gas Laws

Boyle's Law

P_{1} V_{1} = P_{2} V_{2}

Pressure Law

\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}

Charles' Law

\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}

Ideal Gas Law

\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}

Rotational Motion

Arc Length

s = r θ

Angular Velocity

ω = \frac{d θ}{d t}

Angular Acceleration

α = \frac{d ω}{d t}

Tangential Velocity

v = r ω

Centripetal Acceleration

a_{r} = \frac{v^{2}}{r}

a_{r} = r ω^{2}

Centripetal Force

F = \frac{m v^{2}}{r}

F = m r ω^{2}

Chemistry

Moles

m = n M

Concentration

n = C V

Fractions and Percentage

Fraction

a = \frac{b}{c}

Percentage

a = \frac{b}{c} \times 100 %

Fraction of a Quantity

a = \frac{b}{c} \times d

Proportion

\frac{a}{b} = \frac{c}{d}

Circumference and Perimeters

Radius and Diameter

d = 2 r

Circle Circumference

C = π d

Perimeter of a Square

P = 4 a

Perimeter of a Rectangle

P = 2 l + 2 b

Perimeter of a Triangle

P = l + h + z

Area

Area of a Square

A = a^{2}

Area of a Rectangle

A = l \times b

Area of a Circle

A = π r^{2}

Area of a Semicircle

A = \frac{1}{2} π r^{2}

Area of a Triangle

A = \frac{1}{2} b h

Volume

Volume of a Cube

V = a^{3}

Volume of a Cuboid

V = l \times b \times h

Volume of a Cone

V = \frac{1}{3} π r^{2} h

Volume of a Sphere

V = \frac{4}{3} π r^{3}

Volume of a Hemisphere

V = \frac{2}{3} π r^{3}

Volume of a Cylinder

V = π r^{2} h

Voulme of a Triangular Prism

V = \frac{1}{2} b h l

Circle Formula

Arc Length

S = \frac{θ}{360} π D

Area of a Sector

A = \frac{θ}{360} π r^{2}

Pythagoras

Pythagoras' Theorem

h^{2} = a^{2} + b^{2}

Straight Line Equations

Equation of a Straight Line

y = m x + c

Gradient of a Straight Line

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

Trigonometric Formula

Sine of an Angle

\sin θ = \frac{O}{H}

Cosine of an Angle

\cos θ = \frac{A}{H}

Tangent of an Angle

\tan θ = \frac{O}{A}

Area of a Triangle

A = \frac{1}{2} a b \sin C

Sine Rule

\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}

Cosine Rule

a^{2} = b^{2} + c^{2} - 2 b c \cos A

\cos A = \frac{b^{2} + c^{2} - a^{2}}{2 b c}

Quadratic Roots

Roots of a Quadratic Equation

x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}

EquationLab downloads from the app store with 6 free equations. An In App Purchase is required to activate the full equation set listed above, all equation descriptions and the interactive algebra tutor.