Physics And Measurement Question 227

Question: The moment of inertia of a body rotating about a given axis is $ 6.0kgm^{2} $ in the SI system. What is the value of the moment of inertia in a system of units in which the unit of length is 5 cm and the unit of mass is 10 g?

Options:

A) $ 2.4\times 10^{3} $

B) $ 2.4\times 10^{5} $

C) $ 6.0\times 10^{3} $

D) $ 6.0\times 10^{5} $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] In new system, $ 1g*=10g,1cm*=5cm. $

$ I=6\times 100\times g*{{(20cm*)}^{2}}=6\times 100\times 400g\times cm{{*}^{2}} $

$ =2.4\times 10^{5}gcm{{}^{2}} $



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