Lecture 20 - Torque and Motion Flashcards

1
Q

what is angular velocity?

A
  • rate at which the angle changes with respect to time
  • omega (w)
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2
Q

what is the right-hand rule?

A
  • determines angular velocity vector direction
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3
Q

how do you calculate instantaneous angular velocity?

A
  • w = d theta /d time
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4
Q

how do you calculate instantaneous angular acceleration?

A
  • dw / dt
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5
Q

what is rotational inertia?

A
  • I = mr^2
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6
Q

how does mass increase affect rotational inertia?

A
  • rotational inertia is doubled if mass is doubled
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7
Q

how does radius increase affect rotational inertia?

A
  • rotational inertia is increased when radius is increased - if mass radius is doubled, inertia is doubled^2
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8
Q

what is the radius of gyration?

A
  • k
  • calculate inertia with I = mk^2
  • special radius (for non-cylinders) (given to us)
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9
Q

how are torque, angular acceleration and inertia changes related?

A
  • torque increases with acceleration if inertia stays the same
  • as inertia increases, acceleration decreases, if torque stays the same
  • as torque increases, inertia increases, if acceleration stays the same
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