1.

A nail has 2cm square at one end and 100cm square at the other end . A force of 50N is applied on the first end. The pressure acting on the wall will be ?

Answer»

ANSWER:

The pressure acting on the wall = 25\times{10}^{4} N/m²

GIVEN:

  • Area of tip = 2 cm²

  • Area of other end = 100 cm²

TO FIND:

  • The pressure acting on the wall

CONVERSION:

  • 1 cm² = {10}^{ - 4} m²

  • 2 cm² = 2 × {10}^{ - 4} m²

  • 100 cm² = 0.01 m²

FORMULA:

  • PRESSURE = FORCE / AREA

EXPLANATION:

The pressure acting on the wall = 50 / 0.0002

The pressure acting on the wall = 25\times{10}^{4} N/m²

NOTE:

  • Here area of the tip is taken because the tip exerts the force on the wall.

  • The force what we give on the other end will be 50/0.01 = 5000N/m²

  • This is quite less than the pressure exerted on the wall.

  • This is because pressure is inversely proportional to the area. Hence less area FACILITATES more pressure on the wall.

SOME MORE POINTS:

  • SI UNIT OF PRESSURE = N/m² or Pa

  • DIMENSIONAL FORMULA = [M {L}^{ - 1}{T}^{ - 2}]

  • UNITS AND DIMENSIONS OF STRESS, YOUNG'S MODULUS AND PRESSURE ARE THE SAME\bigg(N/m^2\:\:or\:\:Pa\:\:and\:\:[M {L}^{ - 1}{T}^{ - 2}]\bigg)


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