Physics

posted by .

The fast French train known as the TGV (Train à Grande Vitesse) has a scheduled average speed of 216 km/h.

(a) If the train goes around a curve at that speed and the acceleration experienced by the passengers is to be limited to 0.060g, what is the smallest radius of curvature for the track that can be tolerated?


(b) At what speed must the train go around a curve with a 0.50 km radius to be at the acceleration limit?

  • Physics -

    a) Use the formula a=(v^2)/r
    a=.060g
    g=9.8 m/(s^2)
    so a=.588 m/s^2
    v=216km/hr * 1hr/3600s * 1000m/1km = 60m/s
    .588=(60^2)/r
    solve for r, r = 6122.44898

    b)Use the formula a=(v^2)/r
    a=.060g
    g=9.8 m/(s^2)
    so a=.588 m/s^2
    r=.50km * 1000m/1km =500m
    .588=(v^2)/500
    solve for v, v= 17.146 m/s

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. AP PHYSICS

    The fast train known as the TGV that runs south from Paris, France, has a scheduled average speed of 216 km/h. If the train goes around a curve at teha speed and the acceleration experienced by the passengers is to be limited to .07g, …
  2. physics

    Find the speed at which Superman (mass=89.0 kg) must fly into a train (mass = 19564 kg) traveling at 65.0 km/hr to stop it. The system (train + Superman) must end up with zero momentum. With no external forces, Superman's initial momentum …
  3. physics

    Running into the train at that speed would severely damage both train and passengers. Calculate the minimum time Superman must take to stop the train, if the passengers experience an average horizontal force of 0.520 their own weight. …
  4. Physics

    (a) If the maximum acceleration that is tolerable for passengers in a subway train is 1.52 m/s2 and subway stations are located 1030 m apart, what is the maximum speed a subway train can attain between stations?
  5. physics

    (a) If the maximum acceleration that is tolerable for passengers in a subway train is 1.52 m/s2 and subway stations are located 1030 m apart, what is the maximum speed a subway train can attain between stations?
  6. Physics

    Find the speed at which Superman (mass=88.0 kg) must fly into a train (mass = 17998 kg) traveling at 60.0 km/hr to stop it. Running into the train at that speed would severely damage both train and passengers. Calculate the minimum …
  7. Physics

    Find the speed at which Superman (mass=88.0 kg) must fly into a train (mass = 17998 kg) traveling at 60.0 km/hr to stop it. Running into the train at that speed would severely damage both train and passengers. Calculate the minimum …
  8. physics

    A train slows down at a constant rate as it rounds a sharp circular horizontal turn. Its initial speed is not known. It takes 19.8 s to slow down from 81 km/h to 37 km/h. The radius of the curve is 164 m. As the train goes around the …
  9. algebra

    the speed of train A is 8 mph slower than the speed of train B. Train A travels 220 miles in the same time it takes train B to travel 260 miles. Find the speed of both trains. Speed of train A = Speed of train B =
  10. Physics

    Two passenger trains are passing each other on adjacent tracks. Train A is moving east with a speed of 35.5 m/s, and train B is traveling west with a speed of 33.4 m/s. (a) What is the velocity (taking due east to be the positive direction) …

More Similar Questions