Question

QUESTION 5 =02 kg and s eria of a disk depends on mass and radius according to trils Tunction I(m.r)- 1/2 mr Your measured mass and radius if the measured mass. m-799 kg and the measured Find the uncertainty in the moment of interia. Moment have the following uncertainties 011 m. What is is the uncertainty in moment of interia. radius, r 1926 m? Units are not needed in your answen

Answer 1

Here, for the moment of inertia

I = 0.50 * m r^2

I = 0.50 * 7.99 * 19.26^2

I = 1481.93 Kg.m^2

Now, for the uncertainity in the moment of inertia

dI/1481.93 = 0.20/7.99 + (0.11/19.26)^2

solving for dI

dI = 37.14 Kg.m^2

the uncertainity in moment of inertia is 37.14 Kg.m^2