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Finding acceleration with circular motion

  • #1

Homework Statement


Entrance and exit ramps for freeways are often circular stretches of road. As you go around one at a constant speed, you will experience a constant acceleration. Suppose you drive through an entrance ramp at a modest speed and your acceleration is 2.0 m/s2.

What will be the acceleration if you triple your speed?

Express your answer to two significant figures and include the appropriate units.

Homework Equations


a = v2/R

The Attempt at a Solution


Given that the initial acceleration is 2.0 m/s2, and a = v2/R...

I am not sure where to get started. R is not given, and v is not given. I know how to find a theoretically, but since I do not have concrete values to start with besides acceleration, I do not know where to begin.

Thanks for any guidance.
 

Answers and Replies

  • #2
19,803
4,048
Try this with R = 50 m, and with whatever velocity you need to give you a = 2 m/s2. Now, if you triple v, what do you get for a?

Chet
 
  • #3
25
3
You don't actually need any more information, as you wrote yourself in a circular motion a = v2/R. now imagine, R is constant (because you are in the same road), you triple the speed, what will happen to acceleration?
 
  • #4
OK, I got it. Thanks all for your help!
 

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