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Unformatted text preview: Given the following, radius of the ball cm 2 = density of the ball 3 kg/m 7800 = specific heat of the ball K J/kg 420 ⋅ = emmittance 85 . = StefanBoltzman constant 4 2 8 K m J/s 10 67 . 5 ⋅ ⋅ × = − ambient temperature K 300 = convection coefficient to air K m J/s 350 2 ⋅ ⋅ = the differential equation governing the temperature of the ball as a function of time t is given by (A) ( ) 8 4 12 10 81 10 2067 . 2 × − × − = − dt d (B) ( ) 300 10 6026 . 1 2 − × − = − dt d (C) ( ) ( ) 300 10 6026 . 1 10 81 10 2067 . 2 12 8 4 12 − × + × − × = − − dt d (D) ( ) ( ) 300 10 6026 . 1 10 81 10 2067 . 2 2 8 4 12 − × − × − × − = − − dt d For a complete solution, refer to the links at the end of the book....
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 Spring '08
 Kaw,A
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