This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Angle that the string makes with the vertical line = Ф
                 tan Ф = R / L      ---- (1)
          R = radius of horizontal circle
           L = length of string            m = mass of pendulum bob
         ω =  angular velocity of rotation of bob
balancing the forces, as the pendulum is in uniform motion in a circle.  There is no acceleration in vertical direction.  T is the tension i n the string.

   T CosФ = m g      and T sinФ = centripetal force = m R ω²
       =>   tan Ф =  m R ω² / m g
 using (1) we get:   ω² = g / L

 time period = 2 π / ω = 2 π √ (L/g)

1 5 1
click on thanks button above please
select best answer pls