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questions( there are 3 so I will # 1-3)

info: A 18.9 kg object is attached to a cord that is wrapped around a wheel of radius 10.7 cm. The acceleration of the object down the frictionless incline is measured to be .9 m/s2. Assume the axle of the wheel to be frictionless. The acceleration of gravity is 9.8 m/s2.

1.) Find the tension in the rope. Answer in units of N

2.) Find the moment of inertia of the wheel. Answer in units of kg*m2

3.) Find the angular speed of the wheel 1.77 sec after it begins rotating, starting from rest. Answer in units of rad/sec.

so lost! Don't even know where to begin!!!

  • physics -

    Start with the tension.

    T= mg-ma
    Then the moment of inertia...

    Torque=I *angular acceleration
    Force*radius= I * linear acceleration/rad

    solve for I.

  • physics -

    Found the tension which wasgreat! Thanks.

    but would the linear acceleration be .9 m/s2?

  • physics -

    never mind- I figured it out.

    ok so then, for the angular speed, would I sinply use wfinal ^2=winitial^2+2(angular acceleration)(distance)

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