You are standing on a cylindrical raft, which is floating on water. Initially the raft together with you is rotating with angular velocity =0.1 s-¹. Then you start running along the periphery in order stop the rotation of the raft. How fast and in what direction should you run? Your mass is 75 kg, the raft has mass 200 kg and its radius is 15 m.

The earth spins on its axis once a day and orbits the sun once a year. Determine the average angular velocity of the earth as it spins on its axis and orbits the sun. In each case take the positive direction for the angular displacement to be the direction of the earths motion

QUESTION 2 Which of the following is an accurate statement? O A. It is possible to add a scalar quantity to a vector. O B. Even though two vectors have unequal magnitudes, it is possible that their vector sum is zero. OC. Rotating a vector about an axis passing through the tip of the vector does not change the vector. OD. The magnitude of a vector is independent of the coordinate system used. O E. The magnitude of a vector can be zero even though one of its components is not zero.

Suppose a piece of dust finds itself on a CD. If the spin rate of the CD is 380 rpm, and the piece of dust is 4.0 cm from the center, what is the total distance (in m) traveled by the dust in 9 minutes? (Ignore accelerations due to getting the CD rotating.)

In 2015, in Warsaw, Poland, Olivia Oliver of Nova Scotia broke the world record for being the fastest spinner on ice skates. She achieved a record 342 rev/min, beating the existing Guinness World Record by 34 rotations. If an ice skater extends her arms at that rotation rate, what would be her new rotation rate? Assume she can be approximated by a 45-kg rod that is 1.7 m tall with a radius of 15 cm in the record spin.With her arms stretched take the approximation of a rod of length 130 cm with 10% of her body mass aligned perpendicular to the spin axis. Neglect frictional forces.

A wheel (of radius 0.5 meters) spins with an angular velocity of 2 radians per second (rad/s). If this wheel were rolling on the ground without sliding, how fast would the wheel be traveling? O 1 m/s O 0.5 m/s It's not this one. O 2 m/s

A space station shaped like a giant wheel has a radius 103 m and a moment of inertia of 4.97 x 108 kg-m². A crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1 g. When 100 people move to the center of the station for a union meeting, the angular speed changes. What acceleration is experienced by the managers remaining at the rim? Assume that the average mass of each inhabitant is 65.0 kg. m/s²

An electric fan is turned off, and its angular velocity decreases uniformly from 450 rev/min to 220 rev/min in a time interval of length 4.50s.  a) Find the angular acceleration α in revolutions per second per second.  b) Find the number of revolutions made by the fan blades during the time that they are slowing down in Part A.  c) How many more seconds are required for the fan to come to rest if the angular acceleration remains constant at the value calculated in Part A?

Initially at rest H.

A truck with 0.420 m radius tires travels at 42 m/s. part a) What is the angular velocity of the rotating tires in radians per second?  part b) What is the angular velocity of the rotating tires in rev/min?