Problema Solution
The moment of inertia of an object as it rotates about an axis is directly proportional to the square of the distance from the object to the axis of rotation. Suppose an object has a moment of inertia of 1078kg*m^2 as it rotates about an axis that is 7m away. Suppose the object is moved away from the axis so that the moment of inertia is increased to 1500kg*m^2. How far is the object from the axis of rotation?
Answer provided by our tutors
let d = the distance form the axis of rotation that we are looking for
1078 : 7^2 = 1500 : d^2 cross multiply
1078*d^2 = 7^2*1500
by solving we find
d = 8.26 m
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