(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.