1. Pg. 472 Homework Pg. 324#70 – 76 all #1ɣ = 68°, b = 3.88, c = 6.61 #2α = 35.97°, ɣ = 34.03°, c = 4.76 #3 = 113.50°, b = 27.55, c = 18.16 #4No triangle possible #5ɣ = 72°, a = 2.94, b = 5.05 #6 = 102°, a = 19.45, c = 48.90 #7 α = 44.42°, = 78.46°, ɣ = 57.12° #8 = 41.62°, ɣ = 53.38°, c = 4.83 #9a) 5.63 < b < 12 b) b = 5.63 or b ≥ 12 c) 0 < b < 5.63 #107.48 sq units #1122.98 sq units #12a) 102.54 ft b) 96.35 ft

2. Angular and Linear Velocity Motion: Radian measure can be used to analyze the motion of a point moving at a constant speed along a circular path. Let P be a point on the circumference of the wheel where r is the radius rotating at a constant rate. The angular velocity (speed) of the wheel, in radians per second, is the angle swept out in 1 sec by the line segment from the center of the wheel to the point P on the wheel’s circumference. The linear velocity (speed) of the point P, in feet per second, is the distance P travels in 1 second.

3. Angular and Linear Velocity A wheel with radius of 18 in. is rotating at 850rpm (revolutions per minute). Determine the following: The angular speed of the wheel in radians per second The linear speed in feet per second of a point on the circumference of the wheel. (Hint: 1 rpm = 2π rad./min)