Equations Flashcards
Speed / velocity
Speed= ditance/time
m/s m s
Acceleration
a=change in velocity / change in time
m/s2 m/s s
Gravitational field strength
g.f.s. = weight / mass
N/kg
Density
Density = Mass / Volume
Kg/m3
Resultant force
F= change in momentum / change in time
N. Kg m/s
Spring constant
K = force(load) / extension
N/cm
Moment
m = force x distnce (perpendicular from pivot)
Nm
Momentum
p= mass x velocity
Kg m/s
force is needed to change momentum
Force
Mass x acceleration
Weight
Weight = mass x g.f.s
N. Kg. 9.8
Energy
E = 0.5 x m x v2
J
Change in gpe
🔼g.p.e. = mass x gravitational field strength x 🔼 in height
J/Nm Kg. N/Kg. m
Work Done
Work done = force x distance
J
Power
Power = work done / time
W or J/s. J. s.
electrical energy = power x time
Efficiency
Efficiency = (useful energy output / useful energy input) x 100
Efficiency = (useful power output / useful power input) x 100
Mass
Mass = volume x density
Kg. m3. Kg/m3
g. cm3. g/cm3
Pressure in solids
Pressure = force / area
Pa or N/m2. N. m2
Pressure in liquids
p= height x density x g.f.s
Pa. m. kg/m2. N/kg
Hooke’s Law springs
Force = k x X
K= constant N/cm
X= extension cm
Impulse
Change in momentum= mv - mu. V= final velocity U= initial velocity m= mass
Kg m/s
-depending on direction
Ft=Force x time (Ns)
Specific Heat Capacity
🔼Energy = mass x SHC x 🔼temperature
J. Kg. J/kg°C. °C.
Boyle’s law (relationship between volume and pressure)
Initial pressure x initial volume = final pressure x final volume
Pressure –> Pa
Volume –> m3
Velocity for free fall
Velocity = acceleration of gravity (9.8) x time
(Falling objects)
2 formulas forRefractive index
1) n = sin(i) / sin(r)
i= angle of incident (air/vacuum)
r= angle of refraction (material)
n= refractive index (of material)
2) n = speed of light in air or vacuum/ speed of light in medium
Time in waves(period)
Time= 1/frequency
Frequency in waves
Freq= 1/ time
Speed/velocity of wave (2)
wave speed (m/s) = frequency (Hz) × wavelength (m) ( v = f x λ)
Speed = wave length/period (s = d/t)
Critical angle
Sin(critical angle) = 1 / refractive index
or n = 1 / sin(c)
Equation for current (2)
I = Q / t
I = V / R
Potential difference (2)
1) V = I x R
2) V = W / Q (pd= work done / charge) work done is the same as energy transferred
Resistance
V = I x R
voltage = current x resistance
Volts = Amps x ohms
Power in circuits (3)
1)P = I x V
2)P= I² x R
3)P= V² / R
Electrical Energy (2)
E= P x t
E= I x V x t
E.m.f
e = W / Q
E.m.f = work done / charge
Formula to calculate energy transferred by devince in kWh
Energy transferred (kWh) = Power (kW) x Time (h)
Formula to calculate cost of appliance w/ price per kWh
Cost (p) = Energy transferred (kWh) x Price per kWh (p per kWh)
2 resistors used in a potential divider
R1/R2=V1/V2