Calculating Instantaneous Power in a Uniformly Accelerating System

  • Thread starter Thread starter lonely86driver
  • Start date Start date
  • Tags Tags
    Power
Click For Summary

Homework Help Overview

The problem involves calculating the instantaneous power delivered by the net force to a car that accelerates uniformly. The car's mass is given, along with its final speed and the time taken to reach that speed.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to use the power formula involving work and force, but questions the correct application of velocity at a specific time. Some participants suggest finding the speed at 2 seconds and multiplying it by the net force.

Discussion Status

Participants are exploring different aspects of the problem, particularly the calculation of speed at a specific time and the implications of uniform acceleration. Guidance has been offered regarding the need to determine the speed at 2 seconds.

Contextual Notes

The original poster expresses uncertainty about the equations and their application, particularly regarding the definition of velocity in the context of instantaneous power. There is also mention of previous calculations for average power and work done.

lonely86driver
Messages
4
Reaction score
0
i need a little help on this problem and I'm not sure if i have the equation down right.

a 1990kg car accelerates uniformly fromrest to a speed of 17.1 m/s in 4.21 sec.
now the question states what is the instantaneous power delivered by the net force to the car at 2s. answer in units of w.

so this is what i did.
i know that the equation is P=dw/dt which is F*v
to find F i did F=ma but i need to find out what a is
vf=vi+at

vf=vi+at
17.1m/s = 0 m/s + a(2s)
a = 8.55 m/s

F = 1990kg (8.55m/s) = 17014.5

then i plug all that into P= F*v
P = 17014.5 * 17.1 m/s = 290947.95

but that's wrong (online submit). my instructor told the class that v in that equation is the final velocity. am i doing something wrong here. i already found the average power in for the 4.21s and i already found work done.
 
Physics news on Phys.org
You need to find the speed at 2s, then multiply it by the net force.
 
how would i find speed? isn't speed change of x over change of time?
 
You know the acceleration is uniform and it stars from rest, Kinematics? :smile:
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 25 ·
Replies
25
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
3
Views
1K
Replies
8
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K