Express in terms of degrees, minutes, and seconds, to the nearest second.2 _____ _____' ________'' 2. Express the angle as a decimal, to the nearest...

1. Express θ in terms of degrees, minutes, and seconds, to the nearest second.

θ = 4.2

 _____°  _____'  ________''

1. Express the angle as a decimal, to the nearest ten-thousandth of a degree.

317°14'44''

 _________°

3.Express the angle in terms of degrees, minutes, and seconds, to the nearest second.

87.7745°

 _______° _____ ' ______ ''

1. Consider the following figure.

(a) Find the length of the arc of the colored sector in the figure. (Assume a = 12. Round your answer to two decimal places.) 
 ____cm 
(b) Find the area of the sector. (Round your answer to two decimal places.) 
_____ cm2

1. A simple model of the core of a tornado is a right circular cylinder that rotates about its axis. If a tornado has a core diameter of 180 feet and maximum wind speed of 120 mi/hr (or 176 ft/sec) at the perimeter of the core, approximate the number of revolutions the core makes each minute. (Round your answer to one decimal place.) 
    ____rev/min

2. A wheel of the given radius is rotating at the indicated rate. (Enter your answers in

terms of π.)

radius 9 in.,  2300 rpm

(a) Find the angular speed (in radians per minute). 

_____

 radians per minute 
(b) Find the linear speed of a point on the circumference (in ft/min). (Round your answer to the nearest whole number.)
______ ft/min

7. The drive motor of a particular CD player is controlled to rotate at a speed of 200 rpm when reading a track 5.5 centimeters from the center of the CD. The speed of the drive motor must vary so that the reading of the data occurs at a constant rate.

(a) Find the angular speed (in radians per minute) of the drive motor when it is reading a track 5.5 centimeters from the center of the CD.

(b) Find the linear speed (in cm/sec) of a point on the CD that is 5.5 centimeters from the center of the CD. (Round your answer to the nearest whole number.)
____ cm/sec
(c) Find the angular speed (in rpm) of the drive motor when it is reading a track 5 centimeters from the center of the CD.
 ____rpm
(d) Find a function S that gives the drive motor speed in rpm for any radius r in centimeters, where 

2.3 ≤ r ≤ 5.9.

What type of variation exists between the drive motor speed and the radius of the track being read? Check your answer by graphing S and finding the speeds for r = 5 and r = 5.5.

(a) S and r vary inversely.

(b) There is no relationship between S and r.  

  ( c )S and r vary directly.

8 . A tire for a car is 22 inches in diameter. If the car is traveling at a speed of 60 mi/hr, find the number of revolutions the tire makes per minute. (Round your answer to the nearest hundredth.)
 ____rev/min

9.A pendulum in a grandfather clock is 6 feet long and swings back and forth along a 9-inch arc. Approximate the angle (in degrees) through which the pendulum passes during one swing. (Round your answer to three decimal places.)
 ____°