A train track is 5280ft. long. After adding another foot of track, an arc is created. What is the height of the arc and how would i measure it?


The maximum height is given by
[2640(5280) + h^2 = [2640(5280) + 0.50]^2^2 making h = 1.94 ft.

This assumes each half of the track buckles up as two triangles.

The true arc height change is not possible tocalulate on the normal scientific calculator, I believe.

The arc height from the associated chord is given by h = R(1 - cos(µ/2) where R = the central radius and µ = the central angle subtended by the ars.


The lcm of 6 and 9 is 18. It's 18 'cause 6times 3= 18 and 9 times 2=18.

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Sean has 8-inch pieces of toy train track and Ruth has 18-inches of train track. How many of each piece would each child need to build tracks that are equal in length?

  2. Physics

    . A train is traveling down a straight track at 20 m/s when the engineer applies the brakes, resulting in an acceleration of -1.0 m/s 2 as long as the train is in motion. How far does the train move during a 40-s time interval

  3. Science

    A ball rolls down an inclined track 2m long in 4s.find time taken to cover the second metre of the track

  4. physics

    A train on one track moves in the same direction as a second train on the adjacent track. The first train, which is ahead of the second train and moves with a speed of 31.3 m/s, blows a horn whose frequency is 124 Hz. If the

  1. math

    There is a diagram of a running track. The track is made up of two straights and two semicircles. The radius of each semicircle is 35 meters. The length of the outer perimeter of the entire running track is 400 meters. Find the

  2. Trigonometry

    A railroad track is laid along side the arc of a circle of radius 1800 ft. The circular part of the track subtends a central angle of 40 degrees. How long (in seconds) will it take a point on the front of a train traveling 30 mph

  3. Physics

    A track is mounted on a large wheel that is free to turn with negligible friction about a vertical axis. A toy train of mass m = 0.140 is placed on the track and, with the system initially at rest, the train's electrical power is

  4. physics

    A toy train track is mounted on a large wheel that is free to turn with negligible friction about a vertical axis (see the figure). A toy train of mass m = 2.5 kg is placed on the track and, with the system initially at rest, the

  1. Math

    A gymnasium is 50m long and 30m broad. A running track 2. 5m wide runs all around it on the inside. Find the area of the track?

  2. Physics

    Some how TRAIN A travelling at 36 m/s, is accidentally sidetracked onto the train track for TRAIN A. The TRAIN A engineer spots TRAIN A 100 m ahead on the same track and travelling in the same direction. The engineer jams on the

  3. physics

    A roller coaster track is designed so that the car travels upside down on a certain portion of the track as shown in the figure below. What is the minimum speed the roller coaster can have without falling from the track? Assume

  4. Physics

    A 283 g air track glider moving at 0.69 m/s on a 2.4 m long air track collides elastically with a 467 g glider at rest in the middle of the horizontal track. The end of the track over which the struck glider moves is not

You can view more similar questions or ask a new question.