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| 1. |
Derive an equation for centripetal acceleration |
| Answer» Consider the distance traveled by the body over a small time increment Δt:We can calculate the arc length s as both the distance traveled (distance = rate * time = v Δt) and using the definition of a radian (arc = radius * angle in radians = r Δθ:)The angular velocity of the object is thus v / r (in radians per unit of time.)The right half of the diagram is formed by putting the tails of the two v vectors together. Note that Δθ is the same in both diagrams. | |