The math lab/tutors are not permitted to help you with this assignment. However,

Question

The math lab/tutors are not permitted to help you with this assignment. However,there are similar problems in sections 7.1 your text that they may help you with SHOW WORK 1. (2 PTS) Find the length of an arc on a circle with a radius of length 10 inches intercepted by a central angle of 105 degrees. Give an exact answer in terms of pi. 10 pts 0.ale 2. (3 PTS) A ceiling fan has blades that are 52" in length. The fan blades are rotating at 8 revolutions per second. Find the linear speed in feet/second of the tips of the blades. Give an exact answer in terms of pi. 3. (3 PTS) The tires of an automobile are 24" in diameter and are revolving at a rate of 500 rpm (revolutions per minute). Find the speed of the car in miles per hour. Round your answer to the nearest hundredth 4T 4. (2 PTS) Find the area of a sector that has a radius of 6 cm and an angle of-rad. Give an exact answer in terms of pi

Explanation / Answer

1) radius = 10 inches

central angle = 105 deg

arc length = 2pi * 10 * 105/360

= 18.32

hence, arc length = 18.32 inches

2) 8 rev / sec = 8* 2pi rad/ s

= 16pi rad / sec

radius = 52 inches = 52/12 feet

linear speed = 52/12 * 16pi

linear speed = 208/3 pi feet / sec

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