Challenge

Week - 1 - Consistency of Units

Week - 1 - Consistency of Units

Aim:- Derive the following messurements into units as per mentioned requirement.

Procedure That has followed as shown Below.

1. gm/mm/ms

i. Mass(M) -- 1kg=1000grams .

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ii. length= 1cm=10mm.

1m=100cm.

Now we Required in mm so 100(cm)x10(mm)=1000mm.

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iii.time= 1sec=1000ms.

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iv.Force= MxA=1000 kgx1000 mm = 1N > A=acceleration=chance in velocity with respect to time

1000ᶺ2 ms V= meter/sec==> A==>Meter/secᶺ2

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v .Stress 1 pa = Force/ area= 1000 kgx1000 mm = 1*10ᶺ-6 gm/mm*ms2

1000ᶺ2 ms /1000ᶺ2mm2

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vi.ENERGY 1N-m= chage with respect to time =1*10ᶺ3 gm *mm2/ms2

or

Energy is a scalar quantity and the mechanical energy of a system is the sum of the potential energy (which is measured by the position of the parts of the system) and the kinetic energy (which is also called the energy of motion).


Potential enegy=MxGxH---->=1000gramsx9810 mm/msᶺ2 x1000mm G=9.81m/sᶺ2 =9.81x1000/1000ᶺ2

=9810

Kinetic energy =1/2 mv ᶺ2 =0.5x1000gmx((1000) ᶺ3)ᶺ2

Energy= PE+KE

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vii.DENSITY 1Kg/m3= 1000 gm/1000ᶺ3 mm
=
1*10-6 gm/mm3
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Viii.YOUNG'S Modulus 210GPa =210*10ᶺ3 gm/mm*ms2. 1pa=1N=0.10197 kg

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ix.Velocity 56.33KMPH =56.33 KMPH =(56.53 *(1000/3600 m/s)

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x.GRAVITY 9.8m/s2 = 9.8*10ᶺ-3 mm/ms2 =9.81x1000/1000 ᶺ2

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Conclussion:-

Heance Conclude That The unit converssion table was caliculated as per reqirement.

Note :- Attached Table for your refence.

Kindly review & grade accordingly.

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Thanks & regards,

Praveen Kumar reddy.

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