What Are the Values of n and m in the Equation a = v^n/r^m?

[Aamer030]

In an equation a = v^n/r^m, a is the acceleration, v is the velocity and r is the radius of a circle. What are the values of n and m?



1. n=3 and m=2

2. n=2 and m=2

3. n=1 and m=2

4. n=2 and m=1

5. n=2 and m=3


The attempeted solution is:

L/(T)^2 = v^n/r^m

since Velocity is distance/time.
L is the length
T is the time.

n=1 and m=2


Thanx in advanced

 

[DiracRules]

That's not correct, but that's the way to solve it. Just think carefully of what you are doing.

 

[zheng89120]

a = [m^2/s]

v = [m/s]

r = [m]

how many [m/s]'s and [1/r]'s go into a [m^2/r]?

 

[Aamer030]

@DiracRules Thanx for assuring that this is the right way to go.

@zheng89120 I think you need to have a look at "a = [m^2/s]". Because I think it should be a = [m/s^2] instead. based on your next reply I'll start working.

Thank you all for replying.

 

[Aamer030]

with couple of trials with the same way of thinking, I found out that m = 1 and n = 2. If someone could only make sure of the answer.

Thanx once more

 

[zheng89120]

yes that is correct, AND by the way if you're taking any university level physics course, you should have the formula a = v^2/r memorized

 

[Aamer030]

@zheng89120 Thank you very much for helping. And obviously you know more than what I do in physics. And I'll keep this formula [a = v^2/r] in mind ;)