(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Which one of the following equations is dimensionally homogeneous?

Where:

F= force (N)

m= mass (kg)

a= acceleration (m/s^{2})

V= velocity (m/s)

R= radius (m)

t= time (s)

2. Relevant equations

1. F=ma

2. F=m(V^{2}/R)

3. F(t_{2}-t_{1})=m(V_{2}-V_{1})

4. F=mV

5. F=m(V_{2}-V_{1})/(t_{2}-t_{1})

3. The attempt at a solution

Through what I can gather from my textbook and the internet, I started by entering what I know. So:

F=ma

becomes:

N=(kg)(m/s^{2})

From here, I'm not really sure where to go.

F=m(V^{2})/(R)

becomes:

N=(kg)((m/s^{2})/(m))

And again, I plug everything in but in my textbook at this point is where they determine if it is or isn't dimensionally homogeneous.

I would really appreciate any guidance on this, I realize it's a super basic question, but you've got to start somewhere! Thank you.

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# Finding Dimensional Homogeneity

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