The radius of gyration of a thin uniform circular disc (of radius R) about an axis passing through its centre and lying in its plane is

Question

The radius of gyration of a thin uniform circular disc (of radius R) about an axis passing through its centre and lying in its plane is (A)  R  (B)  (R/√2)  (C)  (R/4)  (D)  (R/2)

Tardigrade Admin · Accepted Answer

In case of a disc rotating about an axis through its centre of mass and parallel to its plane K=√(I/M)=√(((1/4)) M R2/M) =(R/2)

Q. The radius of gyration of a thin uniform circular disc (of radius $R$ ) about an axis passing through its centre and lying in its plane is

$R$

$\frac{R}{2}$

$\frac{R}{4}$

$\frac{R}{2}$

In case of a disc rotating about an axis through its centre of mass and parallel to its plane
$K = \frac{I}{M} = \frac{( \frac{1}{4} ) M R ^{2}}{M}$
$= \frac{R}{2}$

Q. The radius of gyration of a thin uniform circular disc (of radius R) about an axis passing through its centre and lying in its plane is

R

2​R​

4R​

2R​

In case of a disc rotating about an axis through its centre of mass and parallel to its plane K=MI​​=M(41​)MR2​​ =2R​

Q. The radius of gyration of a thin uniform circular disc (of radius $R$ ) about an axis passing through its centre and lying in its plane is

$R$

$\frac{R}{2}$

$\frac{R}{4}$

$\frac{R}{2}$

In case of a disc rotating about an axis through its centre of mass and parallel to its plane
$K = \frac{I}{M} = \frac{( \frac{1}{4} ) M R ^{2}}{M}$
$= \frac{R}{2}$