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Chegg the four tires of an automobile are inflated to a gauge pressure of 1. 8 × 105 pa. Each tire has an area of 0. 024 m2 in contact with the ground. Determine the weight of the automobile

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shubhamchouhanvrVT

The weight of the automobile will be equal to W= 6.751 KN

What is weight?

Weight is defined as the amount of force an object exerts on the surface. It is given as the product of mass and the gravitational pull.

Given that:-

  • Chegg the four tires of an automobile are inflated to a gauge pressure of 1. 8 × 10⁵ pa.
  • Each tire has an area of 0. 024 m2 in contact with the ground.

The weight will be calculated as:-

Pressure =  force /  Area

Pressure =  weight / Area

Now the total pressure acting on the tyre will be

Pt =  Guage pressure  +  Atmospheric pressure

pt=  ( 1.8 x 10⁵ )  +  ( 1.013   x   10⁵)

pt= 2.813   x   10⁵  Pa

Now putting the value in the formula:-

2.813   x   10⁵  Pa   =   W  /  0.024

W    =  .2.813   x   10⁵   x   0.024

W    =  6751 N

Now weight on all the four tyres will be:-

W    =   4  x  6751 =  27004 N

So the mass of the body will be:-

M  =  27004    /   9.81  =  2752 Kg

Therefore the mass of the automobile will be M = 2752 Kg

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