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MHT-CET : Physics Entrance Exam

MHT - CET : Physics - Circular Motion Formulae Page 1

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1.

 

Instantaneous Angular Speed, w

d q

dt

 

2.

 

Instantaneous Angular Acceleration, a

dw

dt

 

3.

 

Angular acceleration =

w2 - w1

 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

dt

 

5.

 

 

Linear Speed, v = r w

 

Where r is the radius of the circle.

 

6.

 

Instantaneous Linear Acceleration, a

dv

dt

 

7.

 

Tangential acceleration, a = r a

 

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

 

8.

 

Magnitude of centripetal acceleration,

a

v2

 = w2 r = v w

r

 

9.

 

Magnitude of centripetal force,

f

mv2

  = mw2 r = m v w

r

 

10.

 

Maximum safe speed on a curved unbanked road, vmax

Where m is the

 

coefficient of static friction.

 

11.

 

Maximum safe speed on a curved banked road vmax =

 

12.

 

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

 

q = tan-1 

v2

rg

 Where v is the velocity of  the vehicle.

 

13.

 

Angle of banking, q = tan-1 

v2

rg

 Where v is the velocity of the vehicle.

 

14.

 

 

 

vmax

 

15.

 

 

vmin

 

16.

 

 

a = where aT is the tangential acceleration and aR is the radial acceleration.

 

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