Rotational Motion and Artificial Gravity Quiz
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Questions and Answers

What is the relationship between torque, moment of inertia, and angular acceleration as defined in the content?

  • Torque equals the moment of inertia divided by angular acceleration.
  • Torque equals the square of the radius times angular acceleration.
  • Torque equals the moment of inertia times angular acceleration. (correct)
  • Torque equals the force times the distance from the axis of rotation.
  • How can weightlessness be experienced inside the International Space Station?

  • Through constant free fall. (correct)
  • By using anti-gravity technology.
  • By moving at high speeds in a straight line.
  • By being millions of miles from Earth's gravitational influence.
  • What does the term 'moment of inertia' refer to in the context of rotational motion?

  • The force required to rotate an object at a constant speed.
  • The quantity that determines an object's resistance to angular acceleration. (correct)
  • The total mass of an object in motion.
  • The distance from the center of mass to the point of rotation.
  • Which of the following correctly describes the force acting on a mass rotating at a distance 'r' from the axis of rotation?

    <p>It must be tangential to the path of the mass.</p> Signup and view all the answers

    Which equation represents the definition of torque when considering a mass rotating at a distance 'r'?

    <p>τ = r * F</p> Signup and view all the answers

    What is the primary purpose of artificial gravity in space stations?

    <p>To counteract the effects of weightlessness</p> Signup and view all the answers

    Which equation represents the relationship between linear velocity, centripetal acceleration, and radius in creating artificial gravity?

    <p>$v = ext{sqrt}(a imes R)$</p> Signup and view all the answers

    What negative effects can prolonged weightlessness cause that artificial gravity aims to alleviate?

    <p>Weakened bones and muscles</p> Signup and view all the answers

    In a rotating space station, what does the centripetal acceleration at the outer rim equal?

    <p>The acceleration due to gravity</p> Signup and view all the answers

    What is the angular velocity of a satellite if the radius is 1500 m and the artificial gravity is 9.8 m/s²?

    <p>0.08 rad/s</p> Signup and view all the answers

    Which of the following is NOT a difficulty faced by astronauts in a rotating space station?

    <p>Enhanced mobility</p> Signup and view all the answers

    What is the time period for one rotation for a satellite with a radius of 1500 m under artificial gravity of 9.8 m/s²?

    <p>77.8 s</p> Signup and view all the answers

    If the frequency of a satellite is 0.01286 Hz, what is the corresponding time period?

    <p>77.8 s</p> Signup and view all the answers

    Which formula correctly relates the linear and angular velocity of a satellite?

    <p>v = ωR</p> Signup and view all the answers

    What will happen to the frequency of a satellite if the radius increases while the artificial gravity remains constant?

    <p>Decrease</p> Signup and view all the answers

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