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v = u + at (for constant acceleration, a)
 
v2 = u2 + 2as (for constant acceleration, a)
 
s = ut + ½ at2 (for constant acceleration, a)
 
 
Fnet = ma
 
Fk = μkR
 
Fs ≤ μ R
 
W = F cos θ * s
 
K = ½ m v2
 
W = Kf - Ki
 
Gravitational Potential Energy = mgh
 
Potential energy stored in spring = ½ kx2
 
 
p = m v
 
 
 

 

 

 

 
vt = rω
 
 
 
at = r α
 
ω = ω0 + αt
 
ω2 = ωo2 + 2αθ

 

θ = ωot + ½ αt2
 
 
 
 
 
 
 
τ = r x F = r F sin θ
τ = I α  (Analogous to F = ma)
Rotational KE = ½ I ω2 
L = I ω (Analogous to p = mv)
 
I1 ω1 = I2 ω2 for τnet = 0 

a = acceleration [ms-2]

a(c.p) = centripetal acceleration [ms-2]

 = average acceleration [ms-2]

at = tangential acceleration [ms-2]

F = force [N]

F(c.p) = centripetal force [N]

Fg = gravitational force [N]

Fk = kinetic friction [N]

Fs = static friction [N]

g = acceleration of gravity = 9.8 ms-2

G = gravitational constant = [Nm2kg-2]

h = height [m]

I = impulse [kg ms-1]

k = spring constant [Nm-1]

K = kinetic energy [J]

L = angular momentum [m2kgs-1]

m = mass [kg]

M = mass [kg]

p = linear momentum [kgms-1]

P = power

PE = potential energy = [J]

r = radius [m]

R = normal force (or Reaction force) [N]

 s = distance or arc length [m]

t = time [s]

T = period [s]

u = initial velocity [ms-1]

v = velocity [ms-1]

vt = tangential velocity [ms-1]

 = average velocity [ms-1]

x = spring extension [m]

W = work [J]

 

α = angular acceleration [s-2]

μk = coefficient of kinetic friction

μs = coefficient of static friction

ω = angular velocity [s-1]

ωo = initial angular velocity [s-1]

Δ = represents change

θ = angular displacement [rad]

τ = torque [mN]