Question

A simple pendulum of length 1.4 m is released when it makes an angle of 10 degrees with the vertical. The mass of the bob is 0.3 kg How long does it take for the bob to return the same place where it was released?

Answer 1

The bob of the simple pendulum takes approximately 2.356 seconds to return to its starting position.

Step-by-step explanation:

To find the time it takes for the bob of the simple pendulum to return to its starting position, we can use the formula for the period of a pendulum:

T = 2π√(L/g)

where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. In this case, the length of the pendulum is 1.4 m and the acceleration due to gravity can be approximated as 9.8 m/s². Plugging in these values, we get:

T = 2π√(1.4/9.8) ≈ 2π(0.375) ≈ 2.356 seconds

Therefore, it takes approximately 2.356 seconds for the bob of the pendulum to return to its starting position.