a. s=31 dec b. s=4.9 centimeters; r=1 centimeter Answers: (a) 126.9%; (b) 280.7 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==rm (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 = r Rp A = 2n m (0) (2x^)(4) = (xr) [m (0)]. A=rm (0) QED