How to Calculate Average Power of a Train Pulling an Object on a Slope

  • Thread starter Thread starter mistabry
  • Start date Start date
  • Tags Tags
    Train
AI Thread Summary
To calculate the average power of a train pulling an object up a slope, the mass of the train (1.3 million kg) and the slope angle (1.1 degrees) must be considered. The train travels a distance of 57 km at a speed of 48 km/h. The average power can be determined using the formula for power, which is the change in work over time. Work is calculated by multiplying the force required to move the train by the distance traveled. By finding the necessary force and the time taken for the journey, the average power produced by the engine can be accurately computed.
mistabry
Messages
12
Reaction score
0

Homework Statement


A railroad engine pulls a train of mass 1.3*10^6 kg up an average slope of 1.1 degree for a distance of 57.0 km. If the speed of the train is 48.0 km/h, what is the average power produced by the engine?


Homework Equations


a = Fn/m


The Attempt at a Solution


Created a freebody diagram with Force going to the right going slightly up @ 1.1 degrees. Weight going down. Normal force going up with 1.1 degree angle going slightly left. I got trouble here because I got the FBD, but I don't see how it is relevant D;
 
Physics news on Phys.org
Few more relative equations

Power is the change in work over the change in time.
Work is the force multiplied by the displacement.

Finding the force required to move it, the distance the train travels, and the time it takes the train to travel that far should get you to your answer pretty quickly.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top