OAT Bootcamp Physics Formulas

normal force (Fn)

mg*cos(theta)

friction force

(mu)(Fn)

torque

Fdsin(theta)

Gravitational force two bodies (F)

(G(m1)(m2)) / d^2

Gravitational force single body (g)

(Gm) / r^2

escape velocity (vesc)

sqrt(2Gm / r). PLANETS

orbital velocity (vorbit)

sqrt(Gm / r). PLANETS

power

P= (W/t)

momentum

p= mv

index of refraction

n= c/v

apparent depth (submerged)

D-apparent = D-actual (n2 / n1)

n1= object

n2= usually air

critical angle

sin(theta)c = (n2/n1)

CONVERGING

convex lens, concave mirror

RIO= real, inverted, opposite side

DIVERGING

concave lens, convex mirror

SUV= same side, upright, virtual

magnification

hi/ho = -di/do

power (magnification) in diopters

1/f

f= focal length

image height

ho/hi = do/di

wave sound intensity

I= (P/A) or (p/ 4pix^2)

velocity wave on string

v= sqrt(T/ (m/L))

electric potential

V= Ex

Electrical potential energy

U= qV

current

I= q/t

q= charge

resistance of wire

R= pL/ A

A= area of wire

L= length

p= resistivity constant (unitless)

total capacitance (SERIES)

1/C1 + 1/C2 ......

total resistance (SERIES)

R1 + R2 ........

total capacitance (PARALLEL)

C1 + C2 ........

total resistance (PARALLEL)

1/R1 + 1/R2 .....

charge of a capacitor

Q= CV

energy of a capacitor

E= (1/2) CV^2

density

p= m/v

pressure

P= F/A

pressure for surface

P= Po + pgh

Pascal's principle hydraulics

F1/ F2 = A1/ A1

continuity equation

p1A1v1 = p2A2v2

A1v1 = A2v2

buoyant force

Fb= mg = pVg

centripetal velocity

Vc= (2pi*r / T)

centripetal acceleration

ac= v^2 / r

change in internal energy

deltaU= Q + W

BY= negative

ON= positive

pressure volume work

W= -P delta V

BY= negative

ON= positvie

energy efficiency

percent efficiency= 100((Th - Tc) / (Th))

units: K

force spring

F= kx

work spring

W= 1/2 kx^2

potential energy spring

PE= 1/2 kx^2

period spring

T= 2pi sqrt(m/k)

period for pendulum

T= 2pi sqrt (length, gravity)

angular frequency

w= 2pi / T

angular frequency with a spring

w = sqrt (k/m)