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Determine the central angle if the arc length is 10 cm and the radius is 5 cm.

• 2°
• not possible ... "s" is too small
• ≈ 114.6°
• 360°

If a wheel is turning at a rate of 3 rev/sec and a larger wheel is turning at 3 rev/sec, which wheel has greater angular speed?

• The larger wheel since its diameter is bigger

• The smaller wheel because it has to turn more to cover the same ground.

• The larger wheel since its circumference is greater.

• Neither since angular speed is not dependent on diameter or radius.

Which of the following could be the units of angular speed?

• cm/ft

• rad/sec

• ft/hr

• mph

A circle has radius 12 inches. A central angle intercepts an arc of length 36 inches. What is the radian measure of the central angle?

• 3 radian

• 2 radian

• 6 radian

• 9 radian

A central angle measure 4.5 radians and has an arc of 35 inches. What is the radius of the circle?

• 7.78 inches

• 8.21 inches

• 157.5 inches

• 7 inches

The length of an arc is 18cm and the radius of the circle is 6cm. What is the radian measure of the central angle?

• 3 radian

• 2 radian

• 4 radian

• 2π radian

A fan spins with a constant angular speed of 500 radians/second. How long will it take to cover an angle of 2π radians (one revolution)?

• 0.013 s
• 0.002 s
• 76.9 s
• 6.28 s

In the equation

$v=\omega r,\ \ \omega\ represents...$

• Angular velocity measured in radians

• Angular velocity measured in degrees

• Angular velocity measured in revolutions

• The central angle measured in radians