a.
To find: The angular speed of the larger wheel in radians per second.
The angular speed of the larger wheel in radians per second is
Given information:
Angular speed of the wheel =
Radii,
Calculation:
To get the revolution per second, divide the given RPM by
Revolution per second
Revolution per second =
To get the radians per second, multiply the above equation by
Therefore, the angular speed of the larger wheel in radians per second is
b.
To find: The linear speed of the belt in centimeters per second.
The linear speed of the belt in centimeters per second is
Given information:
Angular speed of the wheel =
Radii,
Calculation:
The angular speed in revolutions per minute is converted into revolutions per second.
Now to find the circumference of the larger wheel,
Thus, one revolution of the wheel is equal to
Substituting the circumference value in above equation to get,
Therefore, the linear speed of the belt in centimeters per second is
c.
To find: The angular speed of the smaller wheel in radians per second.
The angular speed of the smaller wheel in radians per second is
Given information:
Angular speed of the wheel =
Radii,
Calculation:
The circumference of the smaller wheel is given by,
Revolution per second,
Revolution per second =
To get the radians per second, multiply the above equation by
Therefore, the angular speed of the larger wheel in radians per second is
Chapter 4 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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