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Error

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## Homework Statement

A normally functioning clock has a radius of 30cm. What is the average acceleration in the first 15 seconds if the second hand starts at 12? What is the instantaneous acceleration when the second hand is at 12?

## Homework Equations

v = d/t

a = Δv / Δt

limit as Δt approaches 0

## The Attempt at a Solution

v

_{o}= d/t

v

_{o}= (2*r*pi) / t

v

_{o}= (2*30*pi) / 60

v

_{o}= 3.14 cm/s

v = d/t

v = (2*r*pi) / t

v = (2*30*pi) / 60

v = 3.14 cm/s

For average velocity between 0 - 15 seconds:

a = Δv / Δt

Δv² = v² + (v

_{o})²

Δv = 4.44 cm/s [S 45° W]

a = 4.44 / 15

a = 0.30 cm/s² [S 45° W]

I'm not too sure how to find the instantaneous acceleration. I have no idea what a limit is or how to use it.

a = Δv / Δt

a = (velocity at 11.999s - velocity at 12.001s) / 12.001 - 11.999

I'm not sure if this is anything close to being right?