What will happen to the time period of a simple pendulum bob when it made to oscillate in water?
Answers
The formula for the time period of a pendulum (for small angles of displacement from mean position) is
T=2πLg−−√
Now, L here is the length from the point of suspension to the center of mass of the bob. For illustration, assuming the bob is spherical, as the water leaks out, the center of mass will shift downwards, increasing L and hence increasing the time period.
As soon as all the water has leaked out, however, the center of mass will be back at the geometrical center (which was its original position when it was full of water), L will decrease and so will the time period. Therefore, 1 is the answer.
Of course, the effect the leakage of water will have on the change in time period and the point at which the time period again decreases (after the initial increase) depends on the density of the material of the bob and its geometry.
Answer:
The bob of a simple pendulum is a hollow sphere filled with water.centre of mass will be back at the geometrical centre (which was its original position when it was full of water), As soon as all the water has leaked out, however, the L will decrease and so willthe time period.the Bob of a pendulum is hollow and has a pinhole at bottom. it is filled with water