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aqa A-level physics year 2 (yr13) circular motion : chapter 10
circular motion
a force moving in a circular experiences a centripetal force that acts towards the direction of axis of rotation
F = mv2/r
velocity is a tangent to the force at a point
- constant speed but always changing directions
- therefore there is a variable acceleration |
angular velocity
w = angular velocity/frequency/speed
in rads-1
v = (2pi/T)r = (2pi f)r
therfore
v = wr |
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loops
for vertical loops:
you have a circle
A- left furthest side
B- highest point
C- right furthest side
D- bottom
when travelling-
at A/C > support force = mv2/r
B > mv2/r - mg
D > mv2/r + mg
banked planes/banded tracks:
mv2/r = mgtan0
to try and visualise-
-plane coming towards you
-angled towards the left the the right wing face towards the sky
-there is mg downwards
-centripetal to the left (axis of rotation)
- there is a force u angled up the the diagonal left at 0 degrees to the normal |
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