1. A motor generates 300 W of power. The torque necessary is 50.0 N m. Find the angular velocity.
2. Two rollers are side by side, with the large one turning the small one. The diameter of the small one is 2.00 cm and it turns at 15.0 rpm. The large roller has a diameter of 5.00 cm. How many revolutions does it make in one minute?
3. A clock is driven by a series of gears. The first gear has 30 teeth and rotates 60.0 times a minute. The second gear rotates at 90.0 rpm. How many teeth does it have?
4. Two gears have 13 and 26 teeth, respectively. The first gear turns at 115 rpm. How many times per minute does the second gear rotate?
5. A gear train has 17 directly connected gears. Do the first and last gears rotate in the same direction?