Question

solid splere mass 10kg and radiusd 1cm is rolating abount its diameter calucate radius of directior k√i/m​

Answer 1

Answer:

Correct Question: Solid sphere mass 10 kg and radius 1 cm is rotating about its diameter calculate radius of gyration.

Radius of Gyration ( k ) = √ ( I / m )

Moment of Inertia of a Solid Sphere = 2/5 MR²

According to the question,

• M = 10 kg
• R = 0.01 cm

⇒ Moment of Inertia = 2/5 × ( 10 ) ( 0.01 )²

⇒ Moment of Inertia = 0.4 × 10 × 0.0001 = 0.0004 Kg.m²

⇒ Moment of Inertia = 4 × 10⁻⁴ Kg.m²

⇒ Radius of Gyration = √ ( I / M )

⇒ Radius of Gyration = √ 4 × 10⁻⁴ / √ 10

⇒ Radius of Gyration = 2 × √ 10⁻³ = 2 × 10√10

⇒ Radius of Gyration = 20√10 m