oat physics

kinematics equations

projectile max height

H_max = v²_iy / 2g

projectile max range

R = v²_i sin (2θ) / g

projectile time

t = 2v_iy / g

torque

𝜏 = F r sinθ

gravitational PE

PE = mgh

planets PE

PE = -GmM / R

elastic PE

U_s = ½kx²

momentum

p = mv

angular velocity

w = Δθ / Δt

angular momentum

L = Iw

centripetal acceleration

a_{c = v² / r = rw²}

spring restoring force

F_x = -kx

period T

T = 1 / f = 2π / w = 2π sqrt (m/k)

simple harmonic motion v max

V_max = A sqrt (k/m) = Aw

pendulum period T

T = 2π sqrt (1/g)

wave velocity

v = λf

string attached at 2 ends/pipe open at both ends

λ_n = 2L/n

f_n = nv/2L

pipe open at one end

λ_n = 4L/n

f_n = nv/4L

weight/force in fluid

w = ρvg

electric potential

v = kQ/r

current

I = Q/t

Ohm’s law

V = IR

resistance IN SERIES

R_{tot =} R1 + R2 …

V_tot = V1 + V2…

I is the same

charge/capacitance

Q = CV

magnfication

M = -di/do = hi/ho

lens power

1/f

focal length

1/f = 1/do + 1/di

concave/diverging LENS

virtual, upright, small

convex/converging LENS

real, inverted

convex/diverging MIRROR

virtual, upright, small

concave, converging MIRROR

real, inverted