A solid cylinder of mass $20 \mathrm{~kg}$ rotates about its axis with angular speed $100 \mathrm{rad} \mathrm{s}^{-1}$. The radius of the cylinder is $0.25 \mathrm{~m}$. What is the kinetic energy associated with the rotation of the cylinder? What is the magnitude of angular momentum of the cylinder about its axis?

Home » A solid cylinder of mass rotates about its axis with angular speed . The radius of the cylinder is . What is the kinetic energy associated with the rotation of the cylinder? What is the magnitude of angular momentum of the cylinder about its axis?

A solid cylinder of mass $20 \mathrm{~kg}$ rotates about its axis with angular speed $100 \mathrm{rad} \mathrm{s}^{-1}$ . The radius of the cylinder is $0.25 \mathrm{~m}$ . What is the kinetic energy associated with the rotation of the cylinder? What is the magnitude of angular momentum of the cylinder about its axis?

CBSE | Class 11 | NCERT | Physics | System of Particles and Rotational Motion

A solid cylinder of mass $20 \mathrm{~kg}$ rotates about its axis with angular speed $100 \mathrm{rad} \mathrm{s}^{-1}$ . The radius of the cylinder is $0.25 \mathrm{~m}$ . What is the kinetic energy associated with the rotation of the cylinder? What is the magnitude of angular momentum of the cylinder about its axis?

Mass of the cylinder is given as $m=20 \mathrm{~kg}$

Angular speed is given as $\omega=100 \mathrm{rad} \mathrm{s}^{-1}$

Radius of the cylinder is given as $r=0.25 \mathrm{~m}$

So, the moment of inertia of the solid cylinder can be calculated as,
$\mathrm{I}=\mathrm{mr}^{2} / 2$
$=(1 / 2) \times 20 \times(0.25)^{2}$
$=0.625 \mathrm{~kg} \mathrm{~m}^{2}$