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AP EAMCET202423 May 2024Morning ShiftPhysicsRotational MotionActual

A uniform metal solid sphere is rotating with angular speed ₀ about diameter. If the temperature is raised by 50^ C , the angular speed will be [given a metal =20 .10⁻⁵ ^ C ⁻¹ ]

Options

  1. A0.95 ₀
  2. B0.96 ₀
  3. C0.98 ₀
  4. D₀ (Angular velocity is same)

Correct answer

C. 0.98 ₀

Step-by-step solution

T =50^ C , =20 10⁻⁵ C ⁻¹ By conservation of angular momentum, aligned & I ₁ ₁= I ₂ ₂ & ( 2 5 mr ₁^2 ) ₀= ( 2 5 mr ₁^2 )(1+ T )^2 ₂ & ₀= (1+20 10⁻⁵ 50 )^2 ₂ & ₂=0.98 ₀ aligned

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