1. What is the angular average speed of the three hands of a watch?
2. At what linear speed are we moving given the Earth’s trajectory around the sun? You may approximate Earth’s orbit by a circle. Find Earth’s centripetal acceleration and compare it to gravity’s.
3. A centrifugal machine rotates at 50,000 rpm. A particle is 20 cm away from the rotational center. Find the centripetal acceleration of the particle.
4. What is the time between 9:00 and 10:00 in which the minute hand is at the same place as the hour hand? After midday, what is the first time they will meet again?