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Equation
Help Sheets
Lower Level Equations
Equations you need to Remember
The unit for Force is the
1) F=ke 1) Force = Spring Constant times Extension
2) k=F/e 2) Spring Constant = Force divided by Extension
3) e=F/k 3) Extension = Force divided by Spring Constant
Newton N
Spring Constant __ Newtons per Metre N/m
or Kilograms per Second Square kg/s or kgs
Extension Metre m
Mi 1) M=Fd 1) Moment = Force times Distance
2) F=M/d 2) Force = Moment divided by Distance
d 3)d=M/F 3) Distance = Moment divided by Force
The unit for Moment ___is the Newton Metres Nm
Force Newton N
Distance Metres m
F 1) p=F/a
2) F=pa
a 3)a=F/p
1) Pressure = Force divided by area
2) Force = Pressure times Area
3) Area = Force divided by Area
The unit for Pressure is the Pascal Pa
Force Newton N
Area Metres squared m2
F 1)F=ma 1) Force = Mass times Acceleration
2) m=F/a 2) Mass = Force divided by Acceleration
mM a 3)a=F/m 3) Acceleration = Force divided by Mass
The unit for Force is the Newton N
Mass. Kilogram kg
Acceleration Metres per Second squared m/s*ms#
M
mM
The unit for
1)M=mv 1) Momentum = Mass times Velocity
2)m=M/v 2) Mass = Momentum divide by Velocity
3)v=M/m 3) Velocity = Momentum divided by Mass
Momentum ___is the Kilogram-Metre per Second kgm/s or kgms*
Mass Kilogram kg
Velocity Metres per Second m/s or ms*
IE = */,mv? 1) Kinetic Energy = Half Mass times Velocity squared
2)m= 2E, /v? 2) Mass = 2 times Kinetic Energy divided by Velocity squared
3)ve= \(2E,/m) 3) Velocity = Square-root of (2 times Kinetic Energy divided by Mass)
The unit for Kinetic Energy is the Joule J
Mass Gram or Kilogram gor kg
Velocity Metres per Second Squared m/s or ms*
W 1)P=W/t 1) Power = Work Done divided by Time
2) W =Pt 2) Work Done = Power times Time
t 3)t=W/P 3) Time = Work Done divided by Power
The unit for Power __is the Watt Ww
Work Done Joule J
Time Second s
Useful Output Energy Transfer
Ef fici _
fficiency Total Input Enegy Transfer
Useful Output Energy Transfer = Efficiency x Total Input Energy Transfer
Useful Output Energy Transfer
Total Input Energy Transfer = Ef ficiency
The Units of Efficiency is the No Unit, this is just a number, usually a percentage
Useful Output Energy Joule
Total Input Energy Joule
%
Ef fici _
fficiency Total Power Input
Useful Power Output
Useful Power Output = Efficiency x Total Power Input
Total Power Input =
The Units of Efficiency is the
Useful Power Output
Total Power Input
Useful Power Output
Ef ficiency
No Unit, this is just a number, usually a percentage
Watt
Watt
%
V 1) V=IR
2)1=V/R
R 3) R=V/I
1) Voltage = Current times Resistance
2) Current = Voltage divided by Resistance
3) Resistance = Voltage divided by Current
The unit for Voltage or Potential Difference _is the Volt Vv
Current Amps (Amperes) A
Resistance Ohm 0
P 1) P=IV
2)1=P/V
V 3) V=P/I
The unit for Power is the
Voltage or Potential Difference
Current
1) Power = Current times Voltage
2) Current = Power divided by Voltage
3) Voltage = Power divided by Current
Watt W
Volt Vv
Amps (Amperes) A
1)P=PR 1) Power = Current Squared times Resistance
2)R=P/I? 2) Resistance = Power divided by Current Squared
3)1=P/R 3) Current = Square-root of (Power divided by Resistance)
The unit for Power __is the Watt W
Resistance Ohm
Current Amp (Ampere) A
p
The unit for
1)p=m/V 1) Density = Mass divided by Volume
2)m=pV 2) Mass = Density times Volume
V 3) V=m/p 3) Volume = Mass divided by Density
Density is the Kilogram per Metre Cubed kg/ m2or kgm3
Mass Kilogram kg
Volume Metres Cubed m3
Higher Level Equations
The unit for
1) p=hpg 1) Pressure = Height times Density times Gravity
2) h=p/pg 2) Height = Pressure divided by Density times Gravity
3) p =p/hg 3) Density = Pressure divided by Height times Gravity
4) g=p/hp 4) Gravity = Pressure divided by Height times Gravity
Pressure is the Pascal Pa
Height Metres m
Density Kilogram per Metre Cubed kg/m? or kgm=
Gravity Metres per Second Squared m/s? or ms
1)E,= */,ke? 1) Elastic Potential Energy = Half Spring Constant times Extension squared
2)k= 2E, /e? 2) Spring Constant = 2 times Elastic Potential Energy divided by Extension squared
3)e= \(2E, /k) 3) Extension = Square-root of (2 times Elastic Potential Energy divided by Spring
Constant)
The unit for Elastic Potential Energy _ isthe _ Joule J
Spring Constant kilograms per second squared kg/s2 or kgs
Extension Metres m
∆ ∆θ ∆ ∆θ ∆ ∆θ ∆θ ∆ ∆ ∆ θ 1
Frequency
le
Period =
Period or Time Period, unit is the Second, s
Frequency, unit Hertz, HZ
E 1) E=mL 1) Thermal Energy = Mass times Specific Latent Heat
2) m=E/L 2) Mass = Thermal Energy divided by Specific Latent Heat
mM [L 3) L=E/m 3) Specific Latent Heat = Thermal Energy divided by Mass
The unit for Energy _ Unit is the Joule J
Mass Kilogram kg
Specific Latent Heat Joule per Kilogram J/kg or Jkg=
Potential Dif ference Across Primary Coil
Number of Turns on Primary Coil
Potential Dif ference Across Secondary Coil ~ Number of Turns on Secondary Coil
3 |3
rik
p n
Vv = Pp
V. n.
S|
Tihs
oS
Potential Dif ference Across Primary Coil x Current in Primary Coil
= Potential Dif ference Across Secondary Coil x Current Across Secondary Coil