# Effect of elasticity of string on simple pendulum

In a simple pendulum system, how does the extensibility/elasticity of the string affect the time period of oscillation? Would it lead to a random or systematic error? Would the elasticity of the string result in changing lengths of the pendulum across the oscillation, hence altering the time period?

$$T \approx 2\pi\sqrt\frac{L}{g}$$
where $$L$$ is the length of the string and $$g$$ is the gravitational constant. An elastic string would increase the length of the string the higher the velocity is (i.e. closer to the bottom), due to the centrifugal force. Therefore, such a string would increase the pediod length of the pendulum.