If a person releases the bob, from the small angle approximation, how long will it take the bob to swing back to him? s (b) What is meant by the small angle approximation? any angle less than 3° any angle less than 5° any angle less than 10° any angle less than 15°

Complete Question

The complete question is shown on the first uploaded image

1 The time it would take for the bob to return back is

2 small angle approximation mean that the sin of that angle which in radians  is equal to the angle i.e

This approximation do reach an error of 1% at about 10° hence  the small approximation is for angle less than 10°

Explanation:

From the question we are told that

    The mass of the pendulum is

     The length of the cable is  

     The length of the hook from the floor is  

Generally the Time period of a pendulum is not dependent on mass

And this time period is mathematically represented as

Substituting  values