Question

a particle of mass m moves in a circle of radius r with uniform peed v, then centripetal acceleration is along​

Answer 1

ANSWER

THERE ARE TWO TYPE OF FORCE ACTING ON THE BODY IN A CIRCULAR MOTION. THESE TWO FORCE ARE DEPENDS ON THE FRAME OF REFERENCE. GIVEN BLOW

• WHEN THE SYSTEM IN CIRCULAR MOTION IS THE FRAME OF REFERENCE....

IF YOU CONSIDERS THE MOVING BODY AS THE FRAME OF REFERENCE THAN YOU ARE IN ACCELERATING FRAME SO A PSEUDO FORCE IS ACTING ON THE BODY RADIALLY OUT WARDS WHICH IS KNOWN AS CENTRIFUGAL FORCE...

• WHEN YOU CONSIDER A NON ACCELERATING FRAME....

IF YOU ARE OBSERVING THE MOTION IN A NON ACCELERATING FRAME OF REFERENCE THAN THE MAGNITUDE FORCE REMAIN UNCHANGED WHERE AS DIRECTION CHANGE. IN THIS CASE THE DIRECTION IS RADIALLY INWARDS THIS FORCE IS KNOWN AS CETREPETAL FORCE.....

$force = m {w}^{2} r \\ \\ where \: w \: is \: the \: angular \: velocity \: \\ m \: is \: the \: mass \: of \: the \: body \\ r \: is \: the \: radius \: of \: circular \: path$

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