Question

calculate the angular momentum of a disk whose rotational energy is 10 kilo joule and moment of inertia about the axes of rotation is 8*10^4

Answer 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.)

Answer 2

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.)

Explanation: