# physics

posted by .

A merry-go-round is stationary. A dog is running on the ground just outside its circumference, moving with a constant angular speed of 0.705 rad/s. The dog does not change his pace when he sees what he has been looking for: a bone resting on the merry-go-round one third of a revolution in front of him (which means the dog has to move for additional 2/3Pi angular displacement before reaching the bone.) At the instant the dog sees the bone (t = 0), the merry-go-round begins to move in the direction the dog is running, with a constant angular acceleration of 0.0135 rad/s2. At what time will the dog reach the bone?

Hint: use rotational kinematics equations for both, dog and the merry-go-round and set them equal to each other - this means the dog has reached the bone. Then solve it for time, t.
s

## Similar Questions

1. ### Physics

In a playground, there is a small merry-go-round of radius 1.20 m and mass 190 kg. Its radius of gyration (see Problem 85 of Chapter 10) is 91.0 cm. A child of mass 44.0 kg runs at a speed of 4.50 m/s along a path that is tangent to …
2. ### Physics

In a playground, there is a small merry-go-round of radius 1.20 m and mass 190 kg. Its radius of gyration (see Problem 85 of Chapter 10) is 91.0 cm. A child of mass 44.0 kg runs at a speed of 4.50 m/s along a path that is tangent to …
3. ### physics

A child, hunting for his favorite wooden horse, is running on the ground around the edge of a stationary merry-go-round. The angular speed of the child has a constant value of 0.264 rad/s. At the instant the child spots the horse, …
4. ### physics

A dog sits 3.0 m from the center of a merry- go-round. a) If the dog undergoes a 1.2 m/s2 cen- tripetal acceleration, what is the dog’s linear speed?
5. ### physics

A dog sits 2.1 m from the center of a merry-go-round. If the dog undergoes a 1.4 m/s2 centripetal acceleration, what is the angular speed of the merry-go-round?
6. ### Physics

You are riding a merry-go-round on the rim which is turning counterclockwise at a constant angular speed of 0.5 rad/s.  Your dog sees you at the 12 o'clock position when he is at the 3 o'clock position.  He starts running counterclockwise …
7. ### Physics

a merry-go-round of radius 2 m and a moment of inertia 651 kgmm is stationary. a 78 kg woman runs at 1.6 m/s and jumps on tangentially to the rim of the merry-go-round. what is the final angular velocity of the merry-go-round?
8. ### Physics

You are walking a dog when the dog sees a cat and runs away from you. You immediately run after the dog at 4.20 m/s. You jump at an angle of 28.0° to try and catch the dog. While you are in the air the dog is able to move an extra …
9. ### Physics

You are walking a dog when the dog sees a cat and runs away from you. You immediately run after the dog at 4.90 m/s. You jump at an angle of 30.0° to try and catch the dog. While you are in the air the dog is able to move an extra …
10. ### Physics

You are walking a dog when the dog sees a cat and runs away from you. You immediately run after the dog at 5.50 m/s. You jump at an angle of 29.0° to try and catch the dog. While you are in the air the dog is able to move an extra …

More Similar Questions