Technical Mathematics, Sixth Edition

14.4. CHAPTER 14 REVIEW PROBLEMS

Convert from radians to degrees.

1. 

2. Find the central angle in radians that would intercept an arc of 5.83 m in a circle of radius 7.29 m. 0.800 rad

3. Find the angular velocity in rad/s of a wheel that rotates 33.5 revolutions in 1.45 min. 2.42 rad/s

4. A wind generator has blades 3.50 m long. Find the tip speed when the blades are rotating at 35 rev/min. 770 m/min

Convert to radians in terms of π

1. 300° 5π/3

2. 150° 5π/6

3. 230° 23π/18

4. 145° 29π/36

Evaluate to four significant digits.

1. 

2. 

3. What arc length is subtended by a central angle of 63.4° in a circle of radius 4.85 in.? 5.37 in.

4. A winch has a drum 30.0 cm in diameter. The steel cable wrapped around the drum is to be pulled in at a rate of 8.00 ft/s. Ignoring the thickness of the cable, find the angular speed of the drum in revolutions per minute. 155 rev/min

5. Find the linear velocity of the tip of a 5.50-in.-long minute hand of a clock. 34.6 in./h

6. A satellite has a circular orbit around the earth with a radius of 4250 mi. The satellite makes a complete orbit of the earth in 3 days, 7 h, and 35 min. Find the linear speed of the satellite. 336 mi/h

Evaluate to four decimal places. (Angles are in radians.)

1. cos 1.83 −0.2563

2. tan ...