Question 494575: a gear has a radius of 11 inches. it is revolving ar an angular rate of 87°per sec. Points A,B, and C are on the gear. Point A is on the outer edge of the gear. Point B is 9 inches from the center of the gear. Point C is 4 inches from the center of the gear. Find linear speed of point A, B, and C
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! a gear has a radius of 11 inches. it is revolving ar an angular rate of 87°per sec. Points A,B, and C are on the gear. Point A is on the outer edge of the gear. Point B is 9 inches from the center of the gear. Point C is 4 inches from the center of the gear. Find linear speed of point A, B, and C
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At an angular rate of 87º/sec,
it takes the gear 360/87=4.1379 sec to make one revolution
linear speed=distance/travel time=circumference/4.1379 sec
circumference=2πr
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For point A
linear speed=2π*11/4.1379=16.70 in/sec
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For point B
linear speed=2π*9/4.1379=13.67 in/sec
..
For point C
linear speed=2π*4/4.1379=6.07 in/sec
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