Question

A body of mass 10 kg and radious of gyration 0.1m is rotating about an axis if angular speed is 10radian /sec then angular momentum will be

Answer 1

$\huge\fcolorbox{red}{pink}{Answer \: :}$

➡ Given:

✏ mass of body = 10kg

✏ radius of gyration = 0.1m

✏ angular velocity = 10rad/s

➡ To Find:

✏ Angular momentum of rotating body ?

➡ Formula:

✏ Formula of angular momentum for rotating body is given by

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \dag \: \underline{ \boxed{ \bold{ \rm{ \pink{L = mr ^2{ \omega}}}}}} \: \dag$

➡ Terms used:

✏ m denotes mass of body.

✏ r denotes radius of gyration.

✏ $\omega$ denotes angular velocity.

➡ Calculation:

$\implies \rm \: L = mr^2 { \omega} \\ \\ \therefore \rm \: L = 10 \times {0.1 }^2\times {10} \\ \\ \therefore \: \underline{ \boxed{ \bold{ \orange{L = 1 \: kg \frac{ {m}^{2} }{ {s}^{2} } }}}} \: \purple{ \heartsuit}$

Answer 2

Answer:

1

Explanation:

I=MK^2

I=0.1

angular momentum=Iw