Centripetal force and acceleration problem

  • #1

Homework Statement


A 2500 kg car starts from rest and travels along a circular track with a radius of 55.0 meters. The car starts out at a position due East of the center of the track, heading due North initially around the track, which is counterclockwise. The car increases its speed by 105 m/s every minute around the track. How fast is the car traveling when it is 1/4 of the distance around the track? State the car's tangental velocity.


Homework Equations


v=2*pi*r/period


The Attempt at a Solution


I am unsure of how to begin this problem when I'm looking for only 1/4 of the distance. I'm also having a hard time finding the period of one full rotation around the track. Any help would be appreciated! Thanks.
 

Answers and Replies

  • #2
Delphi51
Homework Helper
3,407
10
In this case you are better off doing the magnitude and the direction separately. Figure out the distance for the quarter circle and translate the "105 m/s every minute" into an acceleration in m/s. Then treat it like a linear motion problem and just use your constant acceleration formulas to find the final speed.
 
  • #3
Ok, thank you. Would you mind explaining how I get 105 m/s every minute to m/s for acceleration?
 
  • #4
60
0
105m/s per minute translates to an acceleration a = of 105/60 = 1.75 m/sec/sec

To cover 1/4 th the circumference of a circle of radius is (1/4) * 2 * pi * r

this gives the distance "S"

Now use the formula velocity after covering S is =

V*V = 2* a * S
 

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