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Physics

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A large horizontal circular platform (M=143.1 kg, r=3.01 m) rotates about a frictionless vertical axle. A student (m=75.3 kg) walks slowly from the rim of the platform toward the center. The angular velocity ω of the system is 2.10 rad/s when the student is at the rim. Find ω (in rad/s) when the student is 2.89 m from the center.


Physics - Damon, Tuesday, February 11, 2014 at 6:25pm
conservation of angular momentum (the figure skater spins faster when she pulls her arms in

I1 omega1 = I2 omega2

I of platform = (1/2)(143.1)(3.01)^2
original I of student = m r^2 = 75.3(3.01)^2
final I of student = 75.3(2.89)^2


Physics - Molly, Tuesday, February 11, 2014 at 6:54pm
something is wrong in the answer, can you explain it again please?..

  • Physics - ,

    Physics - Molly, Tuesday, February 11, 2014 at 6:54pm

    something is wrong in the answer, can you explain it again please?..
    Physics - Damon, Tuesday, February 11, 2014 at 7:15pm

    Ok,
    Original I = (1/2)(143.1)(3.01^2 + 75.3*(3.01)^26
    = 648 + 682 = 1330 kg m^2

    Final I = 648 + 75.3(2.89)^2 = 1276

    1330 (2.1) = 1276 omega
    so
    omega = 2.19 radians/second

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