Tag: applications of pascals law

Questions Related to applications of pascals law

A hydraulic press has a ram of 15 cm diameter and plunger is 1.5 cm. It is required to lift a weight of 1 tonne. The force required on plunger is

physics pressure in fluids and atmospheric pressure hydraulic equipment applications of pascals law examples of hydraulic press

  1. 10kg

  2. 100 kg

  3. 1000 kg

  4. 1 kg

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Correct Option: A
Explanation:

Weight on the ram  $F  =  mg=1000\times 10 = 10000$

Using Pascal's law      $\dfrac{F}{A } = constant$              where $A = \pi D^2$
$\therefore$      $\dfrac{10000}{(15)^2 } =\dfrac{F _p}{(1.5)^2}$              $\implies F _p = 100$ N $= 10\ kgf$

Thus, force required on plunger is $10\ kgf$

The maximum number of jets generally employed in an impulse turbine without jet interference are

physics pressure in fluids and atmospheric pressure hydraulic equipment applications of pascals law examples of hydraulic press

  1. 6

  2. 5

  3. 7

  4. 8

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Correct Option: A
Explanation:

The maximum number of jets generally employed in an impulse turbine without jet interference are 6.

In a typical hydraulic press, a force of 20 N is exerted on small piston of area 0.050 m2. What is force exerted by large piston on load if it has an area of 0.50 m2?

physics pressure in fluids and atmospheric pressure hydraulic equipment applications of pascals law examples of hydraulic press

  1. 200N

  2. 100N

  3. 50N

  4. 10N

Show answer
Correct Option: A
Explanation:

Using   $\dfrac{F _1}{A _1} = \dfrac{F _2}{A _2}$

$\therefore$   $\dfrac{20}{0.05} = \dfrac{F _2}{0.5}$            $\implies F _2 = 200$  N

Principle of similitude forms the basis for:

physics pressure in fluids and atmospheric pressure hydraulic equipment applications of pascals law examples of hydraulic press

  1. comparing two identical equipments

  2. designing models so that the result can be converted to prototypes

  3. hydraulic designs

  4. performing acceptance tests

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Correct Option: B
Explanation:

The principle of similitude is a supplement to the scientific method advocated by Lord Rayleigh that requires that any suggested scientific law be examined for its relationship to similar law.

This principle forms the basis for designing models so that the result can be converted to prototypes.
Hence, option B is correct.

State True or False.
Hydraulic press is used in the extraction of oil from oil seeds.

physics pressure in fluids and atmospheric pressure hydraulic equipment applications of pascals law examples of hydraulic press

  1. True

  2. False

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Correct Option: A
Explanation:

Hydraulic press is used in extraction of oil from oil seeds by crushing.

The concept of the hydraulic press is based on Pascal's theory, which states that when pressure is applied on fluids in an enclosed system, the pressure throughout the system always remains constant. In simple words, a hydraulic press is a machine that makes use of the pressure exerted on the fluids to crush something.

A hydraulic press contains 0.25 $m^3$ (250 L) of oil. Find the decrease in volume of the oil when it is subjected to a pressure increase $\Delta p \, = \, 1.6 \, \times \, 10^7$ ,Pa. The bulk modulus of the oil is $B \, = \, 5.0 \, \times \,10^9$ Pa.

physics pressure in fluids and atmospheric pressure hydraulic equipment applications of pascals law examples of hydraulic press

  1. $-0.32 \%$ 

  2. $-1.32 \%$ 

  3. $-0.42 \%$ 

  4. $-1.42 \%$ 

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Correct Option: A