Centripetal acceleration formula proof.
Answer (1)
17th Jan, 2022
Proof:
1. $F=\frac{m v^2}{r}$ (using centripetal force)
2. $F=m a$ (using Newton's 2nd law)
We can rewrite this as:
3. $a=\frac{F}{m}$
Substituting the value of $F$ from equation (1) into equation (3):
4. $a=\frac{m v^2}{r} \div m$
Simplifying:
5. $a=\frac{v^2}{r}$
This is the required expression for acceleration in circular motion.
Comments (0)
Related Questions
explain centripetal acceleration
69 Views
dimensional formula acceleration
63 Views
