Explore BrainMass

Explore BrainMass

    Rotational dynamics

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    A turn-table on a frictionless vertical axis has a radius of 1.5 m and a moment of rotational inertia of 150 kgm^2. It is at rest until a 75 kg person who had been standing still (and who can be treated as a point), begins to walk around the rim at a speed of 2.0 m/s with respect to the turn-table.
    a) what is the speed of the person with respect to the Earth?
    b)How much work did the person do in bringing the turn-table up to speed?

    © BrainMass Inc. brainmass.com March 4, 2021, 5:40 pm ad1c9bdddf
    https://brainmass.com/physics/angular-momentum/rotational-angular-speed-turn-table-5757

    Solution Preview

    Please see the attached file for answer
    a) what is the speed of the person with respect to the Earth?
    Moment of inertia of turntable= 150 Kg m^2 =It

    Radius of turntable= 1.5 m
    Mass of the person= 75 Kg
    "Moment of inertia of the person with respect to the vertical axis=
    M r ^2 =" 168.75 Kg m^2 =Ip

    Let the person be moving with angular velocity w p with respect to the earth
    Let the turntable be moving with angular velocity w t with respect to the earth

    w p= Vp/r where Vp is the velocity of the person with respect to the earth
    w t= ...

    Solution Summary

    Calculates the speed of the person with respect to the Earth and the work the person did in bringing the turn-table up to speed.

    $2.49

    ADVERTISEMENT