problem 1: You are riding your bike on a track which makes a vertical circular loop. The diameter of this loop is 10.0 m, how fast would you have to travel in order to remain in the loop?
problem 2: You are rotating a bucket of water in a vertical circle. Supposing the radius of this circle is 0.95 m, determine the minimum velocity of the bucket at the top of its swing if the water is not to spill?
problem 3: A student has a weight of 655 N. While riding a roller coaster this same student consists of an apparent weight of 1.95 x 10^{3} N at the bottom of the dip which has a radius of 18.0 m. Find out the speed of the roller coaster?
problem 4: An amusement park ride spins in a vertical circle. If the diameter of this ride is 5.80 m, what minimum speed should the ride have so that the 75.0 kg passenger will stay against the wall when he is in the top position?
problem 5: A string needs a 186 N force to break. A 1.50 kg mass is tied to this string and whirled in a vertical circle with a radius of 1.90 m. Determine the maximum speed that this mass can be whirled at without breaking the string?
problem 6: A wheel shaped space station whose radius is 48 m generates artificial gravity by rotating. How fast should this station rotate so that the crew members have similar apparent weight in this station as they have on earth?