- #1
allok
- 16
- 0
hi
This latex code is giving me some problems. I write one thing, it displays something completely different
In circular motion velocity only changes direction but not size
change of velocity - [tex]\Delta v[/tex]
Change of angle - [tex]\Delta T[/tex]
Velocity - V
Centripetal acceleration - a
delta(V) = V * delta(T)
When delta(T) approaches its limit (goes to zero), change of velocity has same direction as acceleration vector?
We compute the magnitude of velocity change with :
Delta(v) = v * Delta(T)
I see this being true when change of angle approaches its limit ( goes to zero ), since then length of circular arc ( with radius begin velocity vector ) equals [tex]\Delta v[/tex]. But that is not true if delta(T) is not approaching limit. So how can we use formula
delta(v) = V * delta(T)
in cases were delta(T) is not approaching zero, since I assume length of circle arc is quite different than delta(T) if delta(T) doesn't go to zero?
cheers
This latex code is giving me some problems. I write one thing, it displays something completely different
In circular motion velocity only changes direction but not size
change of velocity - [tex]\Delta v[/tex]
Change of angle - [tex]\Delta T[/tex]
Velocity - V
Centripetal acceleration - a
delta(V) = V * delta(T)
When delta(T) approaches its limit (goes to zero), change of velocity has same direction as acceleration vector?
We compute the magnitude of velocity change with :
Delta(v) = v * Delta(T)
I see this being true when change of angle approaches its limit ( goes to zero ), since then length of circular arc ( with radius begin velocity vector ) equals [tex]\Delta v[/tex]. But that is not true if delta(T) is not approaching limit. So how can we use formula
delta(v) = V * delta(T)
in cases were delta(T) is not approaching zero, since I assume length of circle arc is quite different than delta(T) if delta(T) doesn't go to zero?
cheers
Last edited: