Answer to Question #135533 in Mechanical Engineering for lloyd

Question #135533
two points b and c lie on radial line of a rotating disk. the points are 2 inches apart. vb=700 ft/min and vc=880 ft/min. find the radius of rotation for each of these points. slader
1
Expert's answer
2020-09-29T14:10:11-0400

Let the radius be r

let us assume C is at the edge

so distance from center"= r ft"

B will then be = "(r - \\frac{2}{12}) ft"

angular velocity will be same hence

"\\frac{Vb}{Rb}= \\frac{Vc}{Rc}"


"\\frac{700}{(r - \\frac{1}{6})} = \\frac{880}{r}"


"\\frac{r}{(r - \\frac{1}{6})} = 1.257"


"r = 1.257r - 0.2095"


"0.257r = 0.2095"


"r = 0.815 ft"


Hence C is at 0.815 ft and B is at 0.648 ft


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