A pendulum is 22.9 inches long and the bob at the end of the pendulum travels 10.5 inches. Find the degree measure of the angle through which the pendulum swings

Respuesta :

The angle which the pendulum swings is 25.78 degree.

Data;

  • Length of the string = 22.9in
  • distance covered by the string = 10.5 inches

Assuming this forms a circular path, we can treat this as a right angle triangle and solve for the angle

s = rθ

[tex]s = r \theta\\\theta = s/r\\\theta = 10.5/22.9\\\theta = 0.45rads[/tex]

Let's convert 0.45 rads to degree

[tex]0.45 * 180/\pi = 25.78^0[/tex]

The angle which the pendulum swings is 25.78 degree.

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