Question

Last year Big Boy 4014, the largest operation steam locomotive in the world, visited Wisconsin after it was completely restored. The main drive wheels of the Big Boy are about 173 cm in diameter.

The train moves at a cruising speed between stops, for a time we'll call Stage 1. During Stage 1, for 5 minutes, the train moves so that the wheels maintain a constant angular velocity of 38 radians/s.

As the train approaches its next stop, it begins to slow. We'll call this Stage 2. During this stage the wheels experience a constant angular acceleration, α, with a magnitude of 0.1 radians/s² until the train comes to a complete stop.

Answer the following questions and submit an image or file of your work.

1. Through what angle do the drive wheels rotate in Stage 1?
2. What linear distance does the train travel in Stage 1?
3. What is the angular acceleration of the train in Stage 1?
4. Through what angle do the drive wheels rotate in Stage 2?
5. What linear distance does the train travel in Stage 2?
6. How long does Stage 2 last?
7. Sketch a velocity versus time graph showing both stages of motion.

Answer 1