7/21/2019 Equation Sheet

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Vf  = Vi + at (for velocity)

Xf  = Xi + Vi * t + 0.5at2 (for position)

GPE = mg

! = "#

$ng%lar spee# = & angle ' time

$ng%lar acceleration = net tor%e ' rotational mass

or%e = lever arm * force perpen#ic%lar to lever arm

Poer = !or ' time

!or = tor%e * angle (in ra#ians)

,E = 0.5 (rotational mass) (ang%lar spee# 2)

-oment%m = mass * velocity

mp%lse (ic is cange in moment%m) = "orce * time

$ng%lar moment%m = (rotational mass) (ang%lar velocity)

$ng%lar imp%lse = or%e * time

"orce = / (potential gra#ient)

estoring foce = / (spring constant) (#isplacement)

1oefficient of restit%tion = (reo%n# spee# of all) ' (collision spee# of all)

1entripetal acceleration = v 2 ' r 

" = 3(4.42 * 60  / 66 ) * m6 * m27 ' r2

8pacecraft spee# = e9a%st spee# * log 3(mass of spacecraft + mass of f%el) ' mass of spacecraft7Press%re = "orce ' area

Press%re is proportional to #ensity * asol%te temperat%re

Particle #ensity = : of particles ' vol%me

Press%re = ;olt<mann constant * particle #ensity * asol%te temperat%re (BC = 1.381 * 10 – 23)

!or = press%re* vol%me #istance = vol%me ' s%rface area

>r#ere# energy ' vol = (press%re potential energy ' vol) + (,E ' vol)+ (GPE'vol) = Press%re + 0.5 #ensity * spee#2 +

#ensity * g * eigt = constant (along a streamline)

Vol%me = (? * press%re #ifference * pipe #iameter @) ' (62A * pipe lengt * fl%i# viscosity)

eynol#Bs n%mer (ic is a comparison of flos) = (#ensity * ostacle lengt * flo spee#) ' viscosity

8pecific eat = eat capacity ' mass (eat capacity is resistance to termal canges)

Ceat flo = (termal con#%ctivity * temperat%re #ifference * area) ' separation

a#iate# poer = emissivity * constant * temperat%re @ * s%rface area (constant = 5.67 * 10 -8 )

1ange in oDectBs internal energy = eat a##e# to oDect or #one y oDect

Ceat remove# from col# oDect = or * (temperat%re col# ' (temperat%re ot temp col#))

7/21/2019 Equation Sheet

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Ceat a##e# to ot oDect = eat remove# from col# oDect + or cons%me#

Perio# of pen#%l%m = 2 

? √ lengthof pendulum/ g

"re%ency = 6'perio#

!ave spee# = avelengt * fre%ency

"orce = (co%lom constant * carge 6 * carge 2) ' #istance eteen carges 2 ( Coulomb constant = 8.988 * 10 9)

Voltage = electrostatic potential energy ' carge

Electrostatic force = carge * electric fiel#

Electric fiel# = voltage gra#ient = voltage #rop ' #istance

Poer cons%me# = voltage #rop * c%rrent Poer provi#e# = voltage rise * c%rrent

1%rrent = voltage #rop ' electrical resistance

"orce = (permeaility of free space * pole 6 * pole 2) ' (@ 

? * #istance eteen poles 2 ) PO! = " # * 10 -7

-agnetostatic force = pole * magnetic fiel#

Poer cons%me# = (voltage #rop * c%rrent) = (c%rrent2 * resistance)

Energy = (magnetic fiel# 2 * vol) ' ( 2 * permeaility of free space)

8econ#ary voltage = primary voltage * (: secon#ary t%rns ' : primary t%rns)

8econ#ary c%rrent = primary c%rrent * (: primary t%rns ' : secon#ary t%rns)

Energy = (electric fiel# 2 * vol) ' (A 

? * co%lom constant)

8pee# of ligt = avelengt * fre%ency

Forent< force = carge * velocity * magnetic fiel# * sine of angle

Energy = PlancBs constant (fre%ency) Planc$%s constant = 6.626 * 10 -3" 

6' focal lengt = 6' oDect #istance + 6' image #istance

f/n%mer (ic is rigtness of real image forme#) = focal lengt ' #iameter