In a department store toy display, a small disk (disk 1) of radius 0.100 m is driven by a...

SKETCH:

The sketch for given problem is shown in the below figure.

RESEARCH:

(a)The angle speed of the disk is given by the equation

…… (1)

Here is the time period of the disk 3.

(b) All the three disks have the same tangential speeds. Hence it is given by the equation

…… (2)

Here and are the radius and angular speed of the disk 3.

(c)The angular speeds of the disksand are given by the equations

…… (3)

Here and are the radius of the disk 1 and disk 2 respectively and is the tangential acceleration of the each of the disks

(d)The tangential acceleration of all disks is equal. Therefore, the tangential acceleration of the diskis given by the equation

Hence, the angular acceleration of the disk’s andis given by the equation

…… (4)

Given data:

The radius of the disk,

The radius of the disk,

The radius of the disk,

The time period of the disk,

The angular acceleration of the disk,

CALCULATE

(a)

Now, substituting the numerical values in the equation (1), we get the angular speed of the disk

(b)

Now, substituting the numerical values in the equation (2), we get the tangential speeds of the disks

(c)

Now, substituting the numerical values in the equation (3), we get angular speeds of the disks

(d)

The tangential acceleration of the disk’’is given by the equation

Now, substituting the numerical values in the equation (4), we get angular accelerations of the disks and.