Centripetal acceleration formula proof.
Answer (1)
17th Jan, 2022
Proof:
1. F=mv2r (using centripetal force)
2. F=ma (using Newton's 2nd law)
We can rewrite this as:
3. a=Fm
Substituting the value of F from equation (1) into equation (3):
4. a=mv2r÷m
Simplifying:
5. a=v2r
This is the required expression for acceleration in circular motion.
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