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Instantaneous Angular Speed, w =
Instantaneous Angular Acceleration, a =
Angular acceleration µ =
w2 - w1
Where w 1 is the initial
angular velocity and w 2 is the
final angular velocity in a time interval t.
Instantaneous Linear Speed v =
Linear Speed, v = r w
Where r is the radius of the circle.
Instantaneous Linear Acceleration, a =
Tangential acceleration, a = r a
Where r is the radius of the circle, a - angular
Magnitude of centripetal acceleration,
= w2 r = v w
Magnitude of centripetal force,
= mw2 r = m v w
Maximum safe speed on a curved unbanked road, vmax =
Where m is the
coefficient of static friction.
Maximum safe speed on a curved banked road vmax =
Angle through which a bicyclist has to tilt his cycle
while taking a turn on an unbanked road,
q = tan-1
Where v is the velocity of the vehicle.
Angle of banking, q = tan-1
Where v is the velocity of the
a = where
aT is the
tangential acceleration and aR is the radial