Question

The K. E. of body is 3J and its M. I. is 6kg. m2 Then its angular momentum will be
a) 3kg m2/s. b) 6kg m2/s
c) 4kg m2/s. d) 5kg m2/s

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Answer 1

Answer:

Rotational Motion

Explanation:

» Ke = 3 J

» M.I = 6 kg - m²

★ K.E. = 1/2 × I × W²

3 = 1/2 × 6 × W²

3 = 3 W²

W² = 1

Angular speed ( w ) = 1 .

★ Angular Momentum ( L ) = I × W = 6 × 1 = 6 Kg - m² rad / s .

Answer 2

Given:

KE of body is 3 Joule, MI is 6 kg m².

To find:

Angular momentum ?

Calculation:

$\therefore \: KE = \dfrac{1}{2} \times I \times { \omega}^{2}$

$\implies \: 3 = \dfrac{1}{2} \times 6\times { \omega}^{2}$

$\implies \: { \omega}^{2} = 1$

$\implies \: \omega = 1 \: rad/s$

Now, angular momentum (L) will be :

$\therefore \: L = I \times \omega$

$\implies\: L = 6 \times 1$

$\implies\: L = 6 \: kg \: {m}^{2} /s$

So, angular momentum is 6 kg m²/s