Can anyone please tell me how the formula for centripetal acceleration (a=v2/r) is derived?
Google will give you many derivations, some with pictures; for instance:
Let's say a sideways force deflects a particle traveling with speed v through a small angle Δθ. Then Δv=vΔθ, and the acceleration is
The distance travelled while the force is being applied is
Solve the second displayed equation for Δt and plug it into the first equation. There ya go.
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