Find the powers p and q that make this equation dimensionally consistent

[swatmedic05]

Acceleration is related to velocity and time by the following expression: A=V^p t^q

Find the powers p and q that make this equation dimensionally consistent.

 

[rock.freak667]

So what dimensions are A, V and t ?

When you get that, then equate exponents.

 

[swatmedic05]

I new to physics I still don't get what I have to do

 

[rock.freak667]

I new to physics I still don't get what I have to do

Alright then. Let's start simple.

What are the units for acceleration (A)?

What are the units for velocity (V)?

What are the units for time (t) ?

 

[swatmedic05]

A= [l]/[t]^2
v= [l]/[t]
t=[t]

 

[rock.freak667]

A= [l]/[t]^2
v= [l]/[t]
t=[t]

Good. So in A=V^pt^q, on the left side we have

LT^-2

and on the right we have

(LT^-1)^p(T)^q

What does the right side give?

 

[swatmedic05]

I just got it now... Thank you for explaining it better to me. I appreciate all your help