Find the moment of inertia of disc about a transverse axis through the centre of disc of radius 0.25m and thickness 10 cm. (Density of disc is 8000kg/m³.)

Solution

The mass of the disc, M= πr²t
The moment of inertia of disc about transverse axis through the centre of disc is,
$straight I equals M r squared equals pi r to the power of 4 t space rho H e r e comma R a d i u s space o f space t h e space d i s c comma space space straight r equals 0.25 straight m Thickness comma space straight t equals 10 c m space equals space 0.1 straight m space D e n s i t y comma space straight rho equals 8000 k g divided by straight m cubed space Therefore comma space M o m e n t space o f space I n e r t i a comma space straight I space equals space pi r to the power of 4 t space rho space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 22 over 7 cross times left parenthesis 0.25 right parenthesis to the power of 4 cross times 0.1 cross times 7700 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 9.453 space k g m squared space space space space space space space space$

Some More Questions From Units and Measurement Chapter

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Units And Measurement

Find the moment of inertia of disc about a transverse axis through the centre of disc of radius 0.25m and thickness 10 cm. (Density of disc is 8000kg/m³.)

Some More Questions From Units and Measurement Chapter

Can we use different units to measure same physical quantity?

To measure a physical quantity X, the unit U is repeatedly used for n times. What is the magnitude of physical quantity?

Does the numerical factor in the quantitative measurement depend on the system of unit used?

Is one unit sufficient to measure a physical quantity?

Can a physical quantity have two or more units? Give example.

What are fundamental quantities?

How many fundamental quantities are there in mechanics?

How many fundamental quantities are there in Physics?

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For Daily Free Study Material Join wiredfaculty

Units And Measurement

Find the moment of inertia of disc about a transverse axis through the centre of disc of radius 0.25m and thickness 10 cm. (Density of disc is 8000kg/m3.)

Some More Questions From Units and Measurement Chapter

Can we use different units to measure same physical quantity?

To measure a physical quantity X, the unit U is repeatedly used for n times. What is the magnitude of physical quantity?

Does the numerical factor in the quantitative measurement depend on the system of unit used?

Is one unit sufficient to measure a physical quantity?

Can a physical quantity have two or more units? Give example.

What are fundamental quantities?

How many fundamental quantities are there in mechanics?

How many fundamental quantities are there in Physics?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Find the moment of inertia of disc about a transverse axis through the centre of disc of radius 0.25m and thickness 10 cm. (Density of disc is 8000kg/m³.)