CIRCULAR MOTION Flashcards
angular position?
change in theta or angle
average angular velocity?
delta theta/delta time
instantaneous angular velocity?
d(theta)/d(time)
if rotation is anticlockwise then what is the direction of angular velocity?
outwards
average angular acceleration?
delta(w)/delta(t)
instantaneous angular acceleration
d(w)/dt
if w is constant then find theta
delta theta=w*t
if w is increasing what is the direction of angular acceleration? and what if w is decreasing?
parallel to angular velocity
antiparallel if w is decreasing
if w is not constant then how. to find theta?
delta theta=integration(wdt) from t1 to t2
relation between linear and angular speed?
v=rw
if alpha(angular acceleration) is constant then find w
delta w=alpha*time
if alpha is not constant, find w
alpha=integration(wdt) from t1 to t2
under what conditions can u use equations of motion
alpha is constant
what equations of motion can u use?
w2=w1+alphat
theta=wt+0.5alphat^2
w2^2-w1^2=2alpha*theta
net acceleration?
a_net vector=a centripetal vector+a tangential vector
a centripetal formula
a centripetal= v^2/r
=w^2r
=v*w
a tangential formula
a tangential=r*alpha
=dv/dt
when a_net is perpendicular to velocity then find components of acceleration
a_c=a_net
a_t=0
when w is constant
at=0 and a_net=a_c
when v is increasing or decreasing then what is the angle between v and a_net
ACUTE IF INCREASING
OBTUSE IF DECREASING
what is the pseudo force experienced by a body in circular motion wrt to frame of circular frame
centrifugal force
m*a_c=?
net force in the direction towards centre
m*a_t=?
net force in the direction of tangent
in a turntable if the object is stationary wrt turntable then find friction
friction=m*root(a_c^2+a_t^2)
