Question

The hollow metallic bob of a simple pendulum is filled with water. Water comes out drop by drop through a small hole at the bottom of the bob. How will the time period change?

Answer 1

Hint:The swing of the pendulum is unaffected by mass. The longer the string, the further the pendulum falls, and the longer the period, or back and forth swing of the pendulum. The longer the period, the larger the amplitude, or angle, of the pendulum.

Complete step by step answer:
Let us first review the basics of the pendulum before moving on to the question. A pendulum is a weight that is suspended from a fixed point. It is positioned in such a way that the device can easily swing back and forth. A basic pendulum's pendulum bob is viewed as a point mass. Furthermore, the string from which it hangs is extremely light.
The period of a simple pendulum can be calculated using the $T = 2\pi \sqrt {\dfrac{l}{g}} $ formula.
Where \[T\] is the time interval, \[l\] is the length of the rope, and \[g\] is the acceleration of gravity.
As you can see, the period of a bob is independent of its mass. The length of a basic pendulum and its acceleration owing to gravity are the only factors that influence its period.
As a result, the period of a simple pendulum remains constant.

Note:Many engineered items, such as clocks, metronomes, amusement park rides, and earthquake seismometers, use pendulums. Engineers also recognise that comprehending the mechanics of how pendulums function is critical to comprehending motion, gravity, inertia, and centripetal force.