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Worksheet 6.2c Angular Velocity1 – 3 Find the missing arc length, central angle, or radius.1.s = 10; r = 15.2.θ= 3π7; r = 213.θ= π4 ; s = 3?4 – 5 Point P is on the edge of a rotating ray. Find the angular velocity in radians per minute for the given time.4.15 Revolutions in 3 minutes5.1238 Revolutions in 7 minutes6 – 7 Calculate the linear velocity, V, of an object rotating at an angular velocity, ? , at a distance r from the center.6.r = 12 cm; ? = 5? rad/sec.7.r = 49 cm; ω= π7 rad/sec8 – 12 Applications8.A flywheel rotates with an angular velocity of 2 revolutions per second. Find the linear velocity if the radius is 15 in. 9.The radius of a soccer ball is 18 cm. What is the length of an arc of the ball for a central angle of π4 ?Name: ___________________________ # ________10. Find the linear velocity of a reflector located 10 in. from the center of a bicycle wheel rotating at 7? radians per second.11.Calculate the angular velocity of an LP record spinning at 33 EQ \f(1,3) rotations per minute.12.The propellers on an average freighter have a radius of 4 feet. At full speed ahead, the propellers turn at 150 rpms. What is the angular velocity in radians per minute? What is the linear velocity in feet per minute at the tip of the blades?13.David puts a rock in his sling and starts whirling it around. In order for the rock to reach Goliath, it must leave the sling at a speed of 60 feet per second. So he swings the sling in a circular path of a radius of 4 ft. What must the angular velocity be in order to achieve his objective?14.Sandy pulls the cord on her lawn mower. In order for the engine to start, the pulley must turn at 180 rpms. The pulley has a radius of 0.2 feet. How many radians per second must the pulley turn? How fast must Sandy pull the chord to start the mower? ................
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