Question

Given a new dimensional system where the units for mass, length, and time are 1 kg, 1in, and 1 hr, respectively. Derive and name the unit of force for this new dimensional system. (Note: Choose the constant of proportionality as well).

Answer 1

Hey,

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Since we know the dimensions of force is [MLT^(-2)]

So, the units are kg*in/(hr^2)

So, the relation between new and old units

Since we know

N=kg*m/s^2

We know 1m=39.3701 in

1 sec=1/3600 hr

So, 1N= kg*(39.3701) in/(((1/3600)^2)hr^2)

So, 1N=38.3701*3600*3600 kg*in/hr^2

So, 1N=5.1024e+08 kg*in/hr^2

So, kg*in/hr^2=1/(5.1024e+08) N

So, kg*in/hr^2=1.959e-09 N

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