Lecture22

# Lecture22 - Fictitious Forces in a rotating reference frame...

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Fictitious Forces in a rotating reference frame Result from a non inertial (accelerated) reference frame They are NOT real forces however they can have real effects F centrifugal does NOT act on the ball F centripetal = force on the ball by the string = force on the hand by the string F centrifugal 1. Centrifugal Force Reaction force to the centripetal force. We feel this force because we are in a NON inertial reference frame 2. Coriolis Force Coriolis force requires the object to be in motion relative to the rotating frame with a velocity that is not parallel to the rotation axis.

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Coriolis force Observer on the disk Outside observer The curved path of the ball is the result of the rotation of the platform A force act on the ball: CORIOLIS FORCE Apparent force (pseudo-force) that originates in a rotating system Straight path
Coriolis force A B v O v A v B path of the ball From Inertial reference frame r B - r A • Tot distance traveled by ball = vt s A = v A t • Because of tangential velocity balls moves also to the side s B = v B t s s = s B - s A = (v B - v A ) t But v A = ω r A v B = ω r B s = ω (r B - r A ) t = ω v t 2 Motion with constant acceleration y=1/2 at 2 a Coriolis = 2 ω v s IMP: Component of velocity perpendicular to axis of rotation

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Lecture22 - Fictitious Forces in a rotating reference frame...

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