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1.

Instantaneous Angular Speed, w =

d q

dt

2.

Instantaneous Angular Acceleration, a =

dw

3.

Angular acceleration µ =

w_{2} - w_{1}

Where w _{1} is the initial angular velocity and w _{2} is the

t

final angular velocity in a time interval t.

4.

Instantaneous Linear Speed v =

ds

5.

Linear Speed, v = r w

Where r is the radius of the circle.

6.

Instantaneous Linear Acceleration, a =

dv

7.

Tangential acceleration, a = r a

Where r is the radius of the circle, a - angular acceleration.

8.

Magnitude of centripetal acceleration,

a =

v^{2}

= w^{2} r = v w

r

9.

Magnitude of centripetal force,

f =

mv^{2}

= mw^{2} r = m v w

10.

Maximum safe speed on a curved unbanked road, v_{max} =

Where m is the

coefficient of static friction.

11.

Maximum safe speed on a curved banked road v_{max} =

12.

Angle through which a bicyclist has to tilt his cycle while taking a turn on an unbanked road,

q = tan^{-}^{1}

rg

Where v is the velocity of the vehicle.

13.

Angle of banking, q = tan^{-}^{1}

14.

v_{max} =

15.

v_{min} =

16.

a = where a_{T} is the tangential acceleration and a_{R} is the radial acceleration.