Calculate the angular momentum of disc
whose rotational energy is 10 kJ and moment
of inertia about the axis of rotation
8x10-4 kg-m?.
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Answer:
L= 4*10⁴ Kgm²s-¹
Explanation:
where,
where,ω= angular velocity=?
where,ω= angular velocity=?I= moment of Inertia= 8*10⁴
where,ω= angular velocity=?I= moment of Inertia= 8*10⁴now,
where,ω= angular velocity=?I= moment of Inertia= 8*10⁴now,from given data,
where,ω= angular velocity=?I= moment of Inertia= 8*10⁴now,from given data,100
where,ω= angular velocity=?I= moment of Inertia= 8*10⁴now,from given data,1000 = ½(8*10⁴)ω²
where,ω= angular velocity=?I= moment of Inertia= 8*10⁴now,from given data,1000 = ½(8*10⁴)ω²or, ω= ½ rad.s-¹
now, angular momentum,
L = Iω
or, L= (8*10⁴)*½
or, L= 4*10⁴ Kgm²s-¹ (Ans.)
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