hat is the turntable’s angular velocity, in rpm, just after this eve

While sitting in physics class one day, you begin to ponder the workings of the analog clock on the classroom wall. You notice as the hands sweep in a continuous motion that there are exactly t = 41 minutes left in class. Calculate the angular velocity of the second hand in radians per second? Calculate the angular velocity of the minute hand in raidans per second? Calcualte the angualr velocity of the hour hand in raidas per second.

As shown in the figure below, wheel A has a radius of 10 cm and is attached by a belt to to wheel C which has a radius of 25 cm.  The angular speed of wheel A is increased from rest at a constant rate of 1.1 rad/s2(α).  Determine the the time needed for wheel C to reach an angular speed of 100 rev/min assuming the belt does not slip.  The linear velocity of the belt must be the same so αArA=αCrC.  The relationship between angular acceleration and angular speed is ω=αt.  2pi rad = 1 rev.  Don't forget to convert to consistent units.

A motor increases its speed from 100 rev/min to 500 rev/min in 20 seconds. If this is done with a constant angular acceleration, how many revolutions occur in this 20 s interval? 100 rev 200 rev     6000 rev 170 rev 67 rev