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,**

**Note: Brother in case of any queries, just comment in
box I would be very happy to assist all your queries**

**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**

**Kindly revert for any queries**

**Thanks.**

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