Notecard Formulas Flashcards
v = Δx/t
used to find average velocity
a = Δv/t
used to find average acceleration
s = d/t
used to find average speed
vf = vi + at
kinematic 1
Δx = 1/2 (vf+vi) t
kinematic 2
Δx = (vi t) + (1/2 a t^2)
kinematic 3
vf^2 = vi^2 + 2aΔx
kinematic 4
vx = v*cosθ
find velocity in the x direction
vy = v*sinθ
find velocity in the y direction
Fg = m*g
force of gravity (on earth) (g = 9.8) (m in kg)
ΣF = m*a
*** net force in any given scenario
Ff = u*Fn
find frictional force (u value changes for static or kinetic friction)
ΣF = (m*v^2) / r
net centripetal force
a = v^2 / r
circular acceleration (when given velocity)
v = 2πr / T
circular velocity (T = period)
a = (4π^2r) / T^2
circular acceleration (when given period)
Fg = (GM1m2) / d^2
Force of gravity between 2 objects (G = gravitational constant = 6.67 * 10^-11)
g = (G*M1) / d^2
acceleration due to gravity (uses larger object’s mass)
v^2 = (G*M) / d
velocity of a satellite (derived by setting ΣF = Fg)
T^2 = (4π^2r^3) / (G*M)
period of a satellite (Kepler’s Law!) (derived by setting ΣF = Fg, and substituting 2πr/T for v)
Work = F * Δx * cosθ
used to find work done in any scenario (must set reference point for displacement)
Ug = h * m * g
potential energy (must set reference point for height)
K = 1/2 * m * v^2
kinetic energy
What is the k coefficient of rotational inertia for a SOLID CYLINDER?
1/2
What is the k coefficient of rotational inertia for a HOOP?
1
What is the k coefficient of rotational inertia for a SOLID SPHERE?
2/5
What is the k coefficient of rotational inertia for a SPHERICAL SHELL?
2/3
What is the k coefficient of rotational inertia for a ROD (ABOUT CENTER)?
1/12
What is the k coefficient of rotational inertia for a ROD (ABOUT END)?
1/3
