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If kinetic energy is tripled what happens to centripetal acceleration.

Sagot :

hhapua2002

Answer:

Triples

Explanation:

Kinetic energy =1/2 mv^2 + 1/2 Iw^2

v= linear velocity

w= angular velocity

I= moment of inertia of object

I = k mr^2 where k is a constant for a particular shaped object

v = rw

w=v/r

Rotational Kinetic energy = 1/2 k m× (v/r)^2 × r^2

Total Kinetic energy = translational Kinetic energy + rotational Kinetic energy

KE = 1/2 (1+k) mv^2

Centripetal acceleration = mv^2/r

When KE is tripled, because 1/2(1+k) is a constant for a particular object, mv^2 part gets tripled. r doesn't appear in the equation of total Kinetic energy. So tripling Kinetic energy doesn't affect r. Therefore centripetal acceleration also gets tripled.

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