Math Analysis Honors – Worksheet 69 Linear and Angular Speed Use the appropriate arc length formula to find the missing information. ( s r , where is measured in radians ) 7 8 s ? ? r 2 in. 1 cm 9 1.5 ft. ? 10 2.5 cm ? 11 12 13 4 in 40 cm ? 7 in. ? 5 ft. 14 15 16 17 18 19 20 25 rad 70 rad 4 3 rad rad ? 20 18 Find the perimeter of a 60 slice of a large (7 in. radius) pizza. Cathy races on bicycle with 13-inch radius wheels. When she is traveling at a speed (linear) of 44 ft/sec, how many revolutions per minute are her wheels making? A circular saw has a cutting blade with a diameter of 10 inches. It spins at 2000 revolutions per minute (rpm). If there are 12 cutting teeth per inch on the blade, how many teeth cross the cutting surface each second? A circular blade on a saw has a diameter of 7.5 inches and rotates at 2400 rpm. (a) Find the angular speed in radians per second. (b) Find the linear speed of the saw teeth (in feet per second) as they contact the wood being cut. True or False A degree is a larger unit of measure than a radian. Show that the area of a sector (like a pizza slice) of radius r with central angle is A 1 2 r , where is 2 measured in radians. A satellite in a circular orbit 1250 kilometers above Earth makes one complete revolution every 110 minutes. What is the linear speed of the satellite?

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