Friction in an old clock causes it to lose 5.6 minutes per hour. Assume the angular...
Friction in an old clock causes it to lose 5.6 minutes per hour. Assume the angular acceleration is constant, the positive z axis points out of the face of the clock, and at the beginning of the hour it was at its ideal angular speed. Find the angular acceleration of the minute hand (long hand) and its angular velocity at the end of the hour. (Give your answer for the angular velocity to at least three significant figures. Express your answers in vector form.)
Homework Answers
The ideal angular velocity of the minute hand is
After 1 hour the position of the minute hand is at 60-5.6=54.4 minutes.
Converting it to angle
We know
Putting the values
Negative sign shows the angular acceleration is in the counterclockwise direction.
In vector form (using the right-hand rule) the angular acceleration is
Now, we know
In vector form (using the right-hand rule) the angular velocity is
The negative sign shows the angular velocity is in the clockwise direction.
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Friction in an old clock causes it to lose 5.6 minutes per hour.
Assume the angular...
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