- #1

Ed Boon

- 10

- 0

## Homework Statement

How many GE locomotives are needed to power a 15k tonne (note tonne not ton) train up a 1 degree grade. Ignore rolling friction and wind resistance. Locomotive traction power is 4400 HP/locomotive.

## Homework Equations

1 hp = 745.7 J/s * 4400 hp = 3281080 J/s

and the grade force is

m*g*sin(1°)

so

15k (kg) *9.8*sin1=2565504 N

also

## The Attempt at a Solution

I am assuming we need to know how fast they go so just say 15 mph.

(assuming 15 mph could you say at 4400 hp it would require 11816640000 n m/hr)

I am stuck between knowing each train has 3,236,195 W of power and knowing the train will take 2565504 N of force and somereason can't relate them

any help is appriciated

Ed