a. s=31 dec b. s=4.9 centimeters; r=1 centimeter Answers: (a) 126.9%; (b) 280.7 Exercise 3. Consider...

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a. s=31 dec b. s=4.9 centimeters; r=1 centimeter Answers: (a) 126.9%; (b) 280.7⁰ Exercise 3. Consider a flywheel with uniform circular motion, where v is the linear velocity of a point on the rim and is the angular velocity. Find v, r, or to the nearest tenth of a unit a. Find vif r=0.3 meters and 12 radians per second. b. Find in radians per minute if y=3 meters per second and r= 6 centimeters. c. Find vif r=9 decimeters and to=-3 revolutions per second. d. Find in degrees per second if r=2.5 feet and v=-10 feet per minute, e. The center line of a freeway curve is laid out as an arc of a circle of radius 300 meters. What is the length of the center line of the curve if it subtends an angle of 20° at the center of the circle? f. Find the linear velocity, in centimeters per minute, of the tip of an hour hand of a clock, if the hour hand has a length of 1.5 decimeters. g. Prove that the area 4 of the sector of a circle as shown in the figure below Sector with a central angle is given by A==r³m² (0). Answers: (a) 3.62 meters per second; (b) 3,000 radians per minute; (c) -54x decimeters per second 12 (d) or -3.82 degrees per second; (e) 104.72 meters; (f) 0.13 centimeters per minute T (g) The area of the circle is A = r² Rp² A = 2n² m² (0) (2x^)(4) = (xr³) [m² (0)]. A=r³m² (0) QED a. s=31 dec b. s=4.9 centimeters; r=1 centimeter Answers: (a) 126.9%; (b) 280.7⁰ Exercise 3. Consider a flywheel with uniform circular motion, where v is the linear velocity of a point on the rim and is the angular velocity. Find v, r, or to the nearest tenth of a unit a. Find vif r=0.3 meters and 12 radians per second. b. Find in radians per minute if y=3 meters per second and r= 6 centimeters. c. Find vif r=9 decimeters and to=-3 revolutions per second. d. Find in degrees per second if r=2.5 feet and v=-10 feet per minute, e. The center line of a freeway curve is laid out as an arc of a circle of radius 300 meters. What is the length of the center line of the curve if it subtends an angle of 20° at the center of the circle? f. Find the linear velocity, in centimeters per minute, of the tip of an hour hand of a clock, if the hour hand has a length of 1.5 decimeters. g. Prove that the area 4 of the sector of a circle as shown in the figure below Sector with a central angle is given by A==r³m² (0). Answers: (a) 3.62 meters per second; (b) 3,000 radians per minute; (c) -54x decimeters per second 12 (d) or -3.82 degrees per second; (e) 104.72 meters; (f) 0.13 centimeters per minute T (g) The area of the circle is A = r² Rp² A = 2n² m² (0) (2x^)(4) = (xr³) [m² (0)]. A=r³m² (0) QED

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Solution a Find v if 03 meters and 12 radians per second The linear velocity of a point on the rim of a flywheel is given by v r where r is the radius of the flywheel and is the angular velocity in ra... View the full answer