Question

A cylinder with an area ratio of 0.5 and a diameter of 15 cm extends at a velocity of 5 cm/s. What is the rate at which fluid is stored in the cylinder?

Answer 1

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Given :-

• Area = 0.5 cm²

• Diameter = 15 cm

• Velocity = 5 cm/s

To Find :-

⭐ The rate at which fluid is stored in the cylinder.

Calculation :-

Using formula of flow rate,

✨ $\mathcal{\huge{\fbox{\purple{Q\:=\:A\:V}}}}$

Where,

• A = area

• v = velocity

Put the value into the formula,

➡ Q = A × V

➡ Q = 0.5 × 5

➡ Q = 2.5 × 10^-6 m³/s

Hence, The rate at which fluid is stored in the cylinder is Q = 2.5 × 10^-6 m³/s .

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• The flow rate of a liquid is the amount of fluid passes through an area taking some particular time.

• It can be taken in either in terms of velocity and cross-sectional area, or time and volume.

• In case of incompressible liquid , the rate of flow into an area must be equivalent to the rate of flow out of an area came to be known as equation of continuity.

SI unit :- Litres per meter (lpm) or Gallons per metre (gpm) .

The Rate of flow :-

Q = A × V

Where,

• The flow area is A .

• The flow velocity is v.

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Answer 2

Answer:Hence, The rate at which fluid is stored in the cylinder is:2.5×10^6 m^3/s

Explanation:

Area = 0.5 cm²

Diameter = 15 cm

Velocity = 5 cm/s

We need to calculate the rate at which fluid is stored in the cylinder

Using formula of flow rate

Q=A×v

Where, A = area, v = velocity

Put the value into the formula

Q=0.5x5

Q=2.5 cm^3/s

Q=2.5×10^6 m^3/s

Hence, The rate at which fluid is stored in the cylinder is:2.5×10^6 m^3/s.

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