How Does Increasing Engine Power Affect Race Time for a Funny Car?

  • Thread starter Thread starter vebes02
  • Start date Start date
  • Tags Tags
    Power
AI Thread Summary
Increasing engine power in a funny car affects race time by altering the acceleration and ultimately the time required to complete a track distance. The discussion revolves around deriving the change in time (dT) based on a differential increase in power (dP) while maintaining a constant mass (m). Participants suggest finding the relationship between power (P) and time (t) and then differentiating that equation to isolate dT. The conversation emphasizes the importance of understanding the underlying physics equations, specifically P = W/t and P = dW/dt, to solve the problem accurately. Ultimately, the goal is to express the change in time in terms of the given variables.
vebes02
Messages
4
Reaction score
0

Homework Statement


A funny car with mass of m accelerates from rest through a measured track distance D with the engine operating at a constant power P. If the track crew can increase the engine power by a differential amount dP, what is the change in the time required for the run? Express your answer exactly in terms of the variables given.


Homework Equations


P = W/t
P = dW/dt


The Attempt at a Solution


I know the problem is asking for dT, but I just don't know how I would single it out. So far I've got: dT = ((dP+ P) - P)/ m * (dV/dt) * Dx which I know is not right. Any suggestions would be helpful.
 
Physics news on Phys.org
Hi vebes02! :wink:

Find the equation relating P and t, then just differentiate it …

what do you get? :smile:
 
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