A body of moment of inertia of $3 k \times m^{2}$ rotating with an angular speed of $2 r a d / s e c$ has the same KE as a mass of $12 k g$ moving with a speed of :

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Solution

The velocity is given as,

$\frac{1}{2} I ω^{2} = \frac{1}{2} m v^{2}$

$\frac{1}{2} \times 3 {(2)}^{2} = \frac{1}{2} \times 12 \times v^{2}$

$v = 1 m / s$

Thus, the speed of the body is $1 m / s$ .

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A body of moment of inertia of 3k×m2 rotating with an angular speed of 2rad/sec has the same KE as a mass of 12kg moving with a speed of :

The velocity is given as, 12Iω2=12mv2 12×3(2)2=12×12×v2 v=1m/s Thus, the speed of the body is 1m/s.

A body of moment of inertia of $3 k \times m^{2}$ rotating with an angular speed of $2 r a d / s e c$ has the same KE as a mass of $12 k g$ moving with a speed of :

The velocity is given as,

$\frac{1}{2} I ω^{2} = \frac{1}{2} m v^{2}$

$\frac{1}{2} \times 3 {(2)}^{2} = \frac{1}{2} \times 12 \times v^{2}$

$v = 1 m / s$

Thus, the speed of the body is $1 m / s$ .