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  • Nastia Luikin can reduce her rotational inertia by a factor of about 3.3

    Nastia Luikin can reduce her rotational inertia by a factor of about 3.3
    when changing from a straight position to a tuck position.If it takes her 0.4 s to make
    one full rotation (or revolution) in a straight position,what is her angular speed when in a
    tuck position?Provide your answer in rev/s as well as in rad/s.
    我不是要翻譯。
    英語(yǔ)人氣:930 ℃時(shí)間:2020-02-04 14:00:39
    優(yōu)質(zhì)解答
    當(dāng)Nastia Luikin從手臂伸展的姿勢(shì)變?yōu)槭直郾F(tuán)的姿勢(shì)時(shí),她能把她自己的轉(zhuǎn)動(dòng)慣量減少3.3倍.
    如果她在手臂伸展的姿態(tài)旋轉(zhuǎn)一周用時(shí)0.4s,那么她手臂抱團(tuán)時(shí),她的角速度是多少.(分別用:轉(zhuǎn)/秒,和弧度/秒兩種單位表示)
    設(shè):Nastia Luikin手臂抱團(tuán)的轉(zhuǎn)動(dòng)慣量為:J
    初始角速度:ω0=2π/0.4=5π rad/s,初始轉(zhuǎn)速:n0=1/0.4=2.5 rev/s
    則由角動(dòng)量守恒:3.3Jω0=Jω,解得:ω=16.5π rad/s
    n=ω/2π=16.5π/2π=8.25 rev/s
    姿態(tài)變化時(shí),人是有做功的,所以角動(dòng)能不守恒,而合力矩為零,所以角動(dòng)量守恒.
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