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Text Elements
θ
vΔt
A
B
θ
R
Δv
v
v
r
r
P
Q
O
PR
θ
vΔt
A
B
r
r
O
As vΔt → 0, the curve → line It can be aproximated
AB
=
PQ
AO
*this is 1 = 1
Δv
vΔt
=
v
r
multiply each side by v
Δv
Δt
=
v
r
2
a
=
v
r
2
T =
1
v =
Δd
Δt
v =
2πr
T
a =
v
r
2
a =
v
r
2
2πr
T
( )
r
a =
a = 4π r
2
2