Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

If kinetic energy is tripled what happens to centripetal acceleration.

Sagot :

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.