Neco 2017 Physics Question 7

Practice essay / theory question 7 from the 2017 Neco Physics examination. This question covers Pressure .

Neco 2017 Physics Essay / Theory

Topic: Pressure

Question 7 NECO • 2017 • PHYSICS • essay

A cylindrical tank of height 12.0 m and cross‑sectional area 0.5 m² is filled with water (density 1000 kg·m⁻³). A small circular hole of area 1.0\times10⁻⁴ m² is opened at the bottom of the tank. The tank rests on a smooth horizontal surface. Water flows out through the hole and the tank loses mass.

Question Parts

( a )

Derive an expression for the instantaneous speed of the water exiting the hole as a function of the water depth h, assuming Torricelli’s law and neglecting viscosity.

( b )

When the water depth is 8.0 m, calculate the rate at which mass is leaving the tank (in kg s⁻¹).

( c )

Assuming the water depth decreases uniformly from 12.0 m to 0 m, estimate the total time required for the tank to empty. (Hint: integrate the relation obtained in part a.)

( d )

Discuss two practical factors that could cause the actual emptying time to differ from the calculated value.

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About This Question

This is Neco 2017 Physics Question 7. It is one of the essay questions from the 2017 Neco Physics examination.

The question covers Pressure .

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