Question

A solid cylindrical disk whose mass is 1.4 kg and radius is 8.5 cm, rolls across a horizontal table at a speed of 15 cm/...

A solid cylindrical disk whose mass is 1.4 kg and radius is 8.5 cm, rolls across a horizontal table at a speed of 15 cm/s. What is the instantaneous velocity of the top of the rolling cylinder? What is the angular speed of the rolling disk? What is the kinetic energy of the rolling disk? *

Science Physics Rotational Mechanics

Answer

Step #1 of 6

Given data:

Step #2 of 6

The instantaneous velocity of the top of the rolling cylinder can be determined as,

Step #3 of 6

The angular speed of the rolling disk can be determined as,

Put all the known values.

Step #4 of 6

The moment of inertia of solid cylindrical disk is given as,

Here, M and R represent the mass of the disk and the radius of the disk, respectively.

Step #5 of 6

The kinetic energy of the rolling disk can be determined as,

Step #6 of 6

Substitute all the known values in the above equation.

A solid cylindrical disk whose mass is 1.4 kg and radius is 8.5 cm, rolls across a horizontal table at a speed of 15 cm/...

Answer