Physics & Maths Tutoring

# Physics Data & Formulae.

## Data

Examination BoardGCSEIGCSEGCE
AQA Some formulae are expected to be momorised, others are given in the exam paper (see Specification, Section 9, Appendix A. page 101) Equation Sheet Insert Physics data & formulae
Edexcel TBC Formulae NOT given in exam
Example of those GIVEN in exam
List of data, formulae & relationships
OCR TBC TBC Data, Formulae & Relationships Booklet
JWEC TBC TBC Data Booklet (example)
CCEA TBC TBC DATA & FORMULAE SHEET

## Physical Constants

 Symbol Value Unit Magnitude of the acceleration due to gravity at Earth surface g 9.81 ms-2 Newton's universal gravitational constant G 6.674 × 10-11 Nm2kg-2 Avogadro's Constant NA or L 6.022 × 1023 mol-1 Boltsmann's Constant k 1.381 × 10-23 JK-1 molar gas constant R 8.314 JK-1mol-1 permittivity of free space ε0 8.854 × 10-12 C2N-1m-2 $k=14⁢π⁢ε0$ 8.988 × 109 Nm2C-2 Permeability of free space μ0 $4\pi ×{10}^{-7}$ TmA-1 Speed of Light in vacuo c $2.998×{10}^{8}$ ms-1 Planck's Constant h $6.626×{10}^{-34}$ Js Reduced Planck's Constant $ℏ=h2⁢π$ $1.055×{10}^{-34}$ Js Rydberg constant R $1.097×{10}^{7}$ m-1 [1] Bohr Radius a0 $5.292×{10}^{-11}$ m
1. The full description of unit m-1 is cycles or periods per meter.

## Physical Formulae

Constant Velocity Equation
$v=st$ $s$ is the displacement (or distance);
$v$ is the velocity (or speed);
$t$ is the time taken.

Constant Acceleration Equations
or SUVAT
$v=u+a⁢t$ $s=vt-\frac{1}{2}a{t}^{2}$

$s=ut+\frac{1}{2}a{t}^{2}$ $s= u+v 2 ⁢t$ $v2 = u2 +2as$

See also SUVAT table

$s$ is the displacement;
$u$ is the initial velocity;
$v$ is the final velocity;
$a$ is the acceleration;
$t$ is the time taken.

Circular Motion
$ω=|dθdt|=2⁢πT$ $v=2⁢π⁢rT=ω⁢r$ $a=ω⁢v=ω2⁢r=v2r$ $ω=2⁢π⁢f=2⁢πT$ $\omega$ is the angular speed (or angular frequency) in radians per second;
$\theta$ is the angle moved through in radians;
$T$ is the time period in seconds. $v$ is the speed in metres per second;
$r$ is the radius of the circular path;
$a$ is the centripetal acceleration;
$f$ is the frequency in hertz;

Simple Harmonic Motion
$x(t)=A⁢sin(ω⁢t+φ)$ $a = d2x(t) dt2 = - ω 2 ⁢ x (t)$ $x$ is the displacement from equilibrium in metres;
$t$ is the time from start in seconds;
$A$ is the amplitude of the oscillation in metres;
$\omega$ is the angular frequency in radians per second;
$\phi$ is the phase difference in radians.

Newton's Second Law
$F =m⁢a =dpdt$ $\mathbf{F}$ is the force on the object being accelerated in newtons;
$m$ is the mass of the object in kilograms;
$\mathbf{a}$ is the acceleration of the object metres per second squared;
$\mathbf{p}$ is the momentum in newton seconds;
$t$ is the time in seconds.

## Data

ClassNameSymbolRest Energy
/MeV
photonphotonγ0
leptonelectron neutrinoνe0
leptonelectrone0.5110

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