MAE155A_HW4B_soln

MAE155A_HW4B_soln - 5.2 Moment of inertia Isc:= 6000 kg m...

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Wheel Torque 3.683 10 6 × s = Wheel Torque 42.63 day = Torque 5.43 10 6 N m := Wheel 20 N m s := Typo in book 5.5 θ p 21 0 3 × rad = θ p 2 θ lim 2 Δθ + := Δθ 1.761 10 8 × rad = Δθ FL I sc T b 2 8 := θ lim .001 rad := Assume dead band control p 291 or you can use the previous chapter p175 I sc ω 24 msN = ω .004 rad sec := Reaction wheel momentum for given angular rate F .89 N := T b .025 sec := L 1.52 m := Moment arm I sc 6000 kg m 2 := Moment of inertia 5.2
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ω .08 N m I sc 196.35 s = ω .18 N m I sc 87.266 s = ω .48 N m I sc 32.725 s = B (winner) A C Available acceleration (time to acheive desired rate) I sc ω 15.708 ms N = Only B and C will work ω 2.618 10 3 × rad sec
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This note was uploaded on 08/02/2010 for the course MAE 155a taught by Professor Staff during the Fall '08 term at UCSD.

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MAE155A_HW4B_soln - 5.2 Moment of inertia Isc:= 6000 kg m...

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