Question

Evaluate the moment of inertia of a tin rod with axis of rotation at the center ,if its lenght is 100cm and its mass is 2.3kg

What is the difference between Rotational K.E And linear K.E

write down tgere formular and compare them

Answer 1

Solution

Mass of tin rod M =2.3Kg

It's length L=1m

the moment of inertia of a tin rod with axis of rotation at the center is given by

$I=mL^2\\=2.3\times(1) ^2 \\=2.3kg-m^2$

Linear kinetic energy is given by

$KE=\frac{mv^2}{2}$

Rotational kinetic energy

$I=\frac{I\omega^2}{2}$

These are interconnected.