Friday, March 30, 2012

Change equations from linear motion to rotational motion.

The equations in linear motion
are


displacement x = x1-
x0


velocity v = (x1- x0)/ (t1-t0) or
dx/dt


acceleration a = (v1-v0)/ (t1- t0) or dv/dt or dv^2/
dt^2


(Here the linear position is expressed in terms of
metres)


For rotational motion the same equations
become


Angular motion T = T1-
T0


Angular velocity V = (T1- T0)/ (t1- t0) or
dT/dt


Angular acceleration A = (V1 - V0)/ (t1- t0) or dV/dt
or dT^2/ dt^2


(Here the angular position is expressed in
radians)


In short, just use the angular position instead of
the linear position for all the equations.


The relations
for velocity, acceleration, instantaneous velocity, instantaneous acceleration, etc.
convert easily from linear motion to rotational motion once you have replaced linear
position with angular position.

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