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**1. The problem statement, all variables and given/known data**

What is the ratio between maximum acceleration of pendulum oscillation and the gravity acceleration ?

Express the answer in terms of L (the length of pendulum string)

**2. Relevant equations**

SHM

**3. The attempt at a solution**

a

_{max}= ω

^{2}A = (g/l) L sin θ = g sin θ

So, the ratio is sin θ..

But, how to express sin θ in terms of L?

I know that for small angles, sin θ can be approximated to θ, and θ is arc length/L... Still, it's confusing