SOLUTION: A circular gear with a radius of 6 inches is driving a larger circular gear with a radius of 10 inches. What is the angular speed of the larger gear, in radians oer minute, if the

Algebra ->  Trigonometry-basics -> SOLUTION: A circular gear with a radius of 6 inches is driving a larger circular gear with a radius of 10 inches. What is the angular speed of the larger gear, in radians oer minute, if the       Log On


   



Question 1140347: A circular gear with a radius of 6 inches is driving a larger circular gear with a radius of 10 inches. What is the angular speed of the larger gear, in radians oer minute, if the smaller gear makes 5 full revolutions per minute?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

The product  radius * angular speed is THE SAME for every such a transmission 

    (because the linear speed of the two circular gears is the same (!) )


Therefore,  6 inches * 5 revolutions = 10 inches * x revolution,


which gives you the number of revolution of the larger gear  x = %286%2A5%29%2F10 = 3.    ANSWER

Solved.