⎜ ⎟ = 1250θ ⎝ ⎠ 2 2 2 0 θ = = ⋅ π cm; 50º 50 90. θ = 100 = 2 = 0.08 = 5π radian = 9 r radian 180 18 1250 25 = = 9 ⋅ 5π ≈ 7.854 cm s rθ or 2 ⋅ 180 = ⎛ 72 ⎞ ≈ 4.58° 18 (9)2 = = ⎛ ⎞ ≈ 1 1 5π = 45π 35.343 A r π 25 ⎜ ⎟ 2θ cm2 ⎜ ⎟ = = r t 2 2 ⎝ ⎠ 4 5 seconds; θ = cm; 1 radian 3 97. 91. In 15 minutes, radian/sec (1/ 3 20 60 = 6 r = ⋅ 1 3) = ω = θ 20 1 = 1 t θ = 15 = 90º = π radians 5 1 (1 ⋅ 5 / 1 s rθ 3) rev = 1 ⋅ 360º 60 4 2 cm/sec = = = = ⋅ = v = = 6 ⋅ π = 3π ≈ 9.42 s rθ 20 3 20 12 t t inches 2 98. = 20 = 5 meters t s = 2 meters; seconds; r In 25 minutes, 5 1 1 ( ) (5 θ / / 2) s r ω = = = = ⋅ = radian/sec θ = 25 rev = 5 ⋅ 360º = 150º = 5π 20 2 20 8 t t radians 5 1 s 60 12 6 = = = v m/sec = = 6 ⋅ 5π = 5π ≈ 15.71 s rθ inches 6 20 4 t
⎜ ⎟ 2 2 ⎝ ⎠ 2 = 1250θ 90. r = 9 cm; θ = 50º = 50 ⋅ π = 5π radian θ = 100 = 2 = 0.08 radian 180 18 s = rθ = 9 ⋅ 5π ≈ 7.854 cm 1250 25 or 2 ⋅ 180 = ⎛ 72 ⎞ ≈ 4.58° 18 A = 1 r 2θ = 1 (9)2 ⎛ 5π ⎞ = 45π ≈ 35.343 cm2 25 π ⎜ ⎟ ⎜ ⎟ 2 2 ⎝ ⎠ 4 97. r = 5 cm; t = seconds; θ = 1 radian 3 91. r = 6 In 15 minutes, ω = θ t (1/ 3) = 20 = 1 ⋅ 1 = 1 radian/sec 3 20 60 θ = 15 rev = 1 ⋅ 360º = 90º = π radians s rθ 5 ⋅ (1 / 3) 5 1 1 60 4 2 v = = = = ⋅ = cm/sec s = rθ = 6 ⋅ π = 3π ≈ 9.42 inches t t 20 3 20 12 2 98. r = 2 meters; t = 20 seconds; s = 5 meters In 25 minutes, θ ( s / r ) (5 / 2) 5 1 1 ω = = = = ⋅ = radian/sec θ = 25 rev = 5 ⋅ 360º = 150º = 5π radians 60 12 6 t t 20 2 20 8 s 5 1 v = = = m/sec s = rθ = 6 ⋅ 5π = 5π ≈ 15.71 inches 6 t 20 4 0
62514-0132318806_ISM_02-1.docx