(a)
\Find angular speedof the blade.
\Blade diameter
.
Motor speed
.
Angular speed of the blade is
.
Number of rotation in revolutions of the blade per second is
rps.
Angle of each rotation of blade is
.
Angle of
rotations is
.
Substitute
and
in
.

.
Angular speed of the blade is
.
Find linear speed of the blade.
\Blade diameter
.
Radius
.
The linear speed is
.
Substitute
,
and
in
.

Linear speed of the blade is
.
Find angular speed of the blade.
\Blade diameter
.
Motor speed
.
Angular speed of the blade is
.
Number of rotation in revolutions of the blade per second is
rps.
Angle of each rotation of blade is
.
Angle of
rotations is
.
Substitute
and
in
.

.
Angular speed of the blade is
.
Find linear speed of the blade.
\Blade diameter
.
Radius
.
The linear speed is
.
Substitute
,
and
in
.

Linear speed of the blade is
.
Find angular speed of the blade.
\Blade diameter
.
Motor speed
.
Angular speed of the blade is
.
Number of rotation in revolutions of the blade per second is
.
Angle of each rotation of blade is
.
Angle of
rotations is
.
Substitute
and
in
.

.
Angular speed of the blade is
.
Find linear speed of the blade.
\Blade diameter
.

Radius
.
The linear speed is
.
Substitute
,
and
in
.

Linear speed of the blade is
.
Find angular speed of the blade.
\Blade diameter
.
Motor speed
.
Angular speed of the blade is
.
Number of rotation in revolutions of the blade per second is
.
Angle of each rotation of blade is
.
Angle of
rotations is
.
Substitute
and
in
.

.
Angular speed of the blade is
.
Find linear speed of the blade.
\Blade diameter
.

Radius
.
The linear speed is
.
Substitute
,
and
in
.

Linear speed of the blade is
.
Find angular speed of the blade.
\Blade diameter
.
Motor speed
.
Angular speed of the blade is
.
Number of rotation in revolutions of the blade per second is
.
Angle of each rotation of blade is
.
Angle of
rotations is
.
Substitute
and
in
.

.
Angular speed of the blade is
.
Find linear speed of the blade.
\Blade diameter
.

Radius
.
The linear speed is
.
Substitute
,
and
in
.

Linear speed of the blade is
.
(b)
\Linear speed of the
-inch saw is
.
Linear speed of the
-inch saw is
.
Speed difference between
-inch saw to
-inch saw is
.
-inch saw is
faster than the
-inch saw.
(a)
\Angular speed of the
-inch saw blade is
.
Linear speed of the
-inch saw blade is
.
Angular speed of the
-inch saw blade is
.
Linear speed of the
-inch saw blade is
.
Angular speed of the
-inch saw blade is
.
Linear speed of the
-inch saw blade is
.
Angular speed of the
-inch saw blade is
.
Linear speed of the
-inch saw blade is
.
Angular speed of the
-inch saw blade is
.
Linear speed of the
-inch saw blade is
.
(b)
\
-inch saw is
faster than the
-inch saw.