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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
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Pg. 472 Homework • Pg. 324 #70 – 76 all • #1ɣ = 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 • #7α= 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: 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. • Radian measure can be used to analyze the motion of a point moving at a constant speed along a circular path.
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)