One person sits on the chair with their arms outstretched,holding a heavy weight
ID: 1745341 • Letter: O
Question
One person sits on the chair with their arms outstretched,holding a heavy weight in each hand. Another person set the chairand person to rotate by pushing gently on their arm. Whilerotating, the person on the chair slowly pulls the weights incloser to their body. a) What will happen when the person on the chair slowly pullsthe weights in closer to their body? b) What happens to the angular velocity of rotation when theweights are pulled in? c) Consider the rotational inertia of the entire system(consisting of the chair, the person, and the weights being held).How is the rotational inertia of the system different when theweights are pulled in? d) Under conditions of zero torque, the angular momentum of asystem must be conserved. (Recall that the angular momentum isgiven by L=Iw.) In terms of the angular momentum, angular velocityand rotational inertia of the system, what will you observe whenthe weights are pulled in? Explain qualitatively oralgebraically. Thanks. One person sits on the chair with their arms outstretched,holding a heavy weight in each hand. Another person set the chairand person to rotate by pushing gently on their arm. Whilerotating, the person on the chair slowly pulls the weights incloser to their body. a) What will happen when the person on the chair slowly pullsthe weights in closer to their body? b) What happens to the angular velocity of rotation when theweights are pulled in? c) Consider the rotational inertia of the entire system(consisting of the chair, the person, and the weights being held).How is the rotational inertia of the system different when theweights are pulled in? d) Under conditions of zero torque, the angular momentum of asystem must be conserved. (Recall that the angular momentum isgiven by L=Iw.) In terms of the angular momentum, angular velocityand rotational inertia of the system, what will you observe whenthe weights are pulled in? Explain qualitatively oralgebraically. Thanks.Explanation / Answer
a. The speed of the rotations increases. b. As the rotational speed increases its angular speedincreases. c. The rotational inertia is I=MR2 R=length of the radius from the centre to end of thearms. As the weights are pulled in its radius decreases so itsinertia also decreases as . d. If is the angular velocity then I11=I22 2=I11/I2 Hence we get by it. R=length of the radius from the centre to end of thearms. As the weights are pulled in its radius decreases so itsinertia also decreases as . d. If is the angular velocity then I11=I22 2=I11/I2 Hence we get by it.Related Questions
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