Pg. 472 Homework• Pg. 324 #70 – 76 all

• #1 ɣ = 68°, b = 3.88, c = 6.61• #2 α = 35.97°, ɣ = 34.03°, c = 4.76• #3 ẞ = 113.50°, b = 27.55, c = 18.16• #4 No triangle possible• #5 ɣ = 72°, a = 2.94, b = 5.05• #6 ẞ = 102°, a = 19.45, c = 48.90• #7 α = 44.42°, ẞ = 78.46°, ɣ = 57.12°• #8 ẞ = 41.62°, ɣ = 53.38°, c = 4.83• #9 a) 5.63 < b < 12 b) b = 5.63 or b ≥ 12 c) 0 < b < 5.63• #10 7.48 sq units• #11 22.98 sq units• #12 a) 102.54 ft b) 96.35 ft

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.

. .sec secrad s rad

r

sec secft fts r

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)