DP Physics (last assessment 2024)

Question 18M.3.HL.TZ1.10c.i

Date	May 2018	Marks available	[Maximum mark: 1]	Reference code	18M.3.HL.TZ1.10c.i
Level	HL	Paper	3	Time zone	TZ1
Command term	Calculate	Question number	c.i	Adapted from	N/A

c.i.

[Maximum mark: 1]

18M.3.HL.TZ1.10c.i

The water supply for a hydroelectric plant is a reservoir with a large surface area. An outlet pipe takes the water to a turbine.

M18/4/PHYSI/HP3/ENG/TZ1/10

The following data are available:

$\begin{array}{*{20}{l}} {{\text{density of water}}}&{ = 1.00 \times {{10}^3}{\text{ kg }}{{\text{m}}^{ - 3}}} \\ {{\text{viscosity of water}}}&{ = 1.31 \times {{10}^{ - 3}}{\text{ Pa s}}} \\ {{\text{diameter of the outlet pipe}}}&{ = 0.600{\text{ m}}} \\ {{\text{velocity of water at outlet pipe}}}&{ = 59.4{\text{ m}}{{\text{s}}^{ - 1}}} \end{array}$

(c.i)

Calculate the Reynolds number for the water flow.

[1]

Markscheme

R = $\frac{{59.4 \times 0.6 \times 1 \times {{10}^3}}}{{1.31 \times {{10}^{ - 3}}}}$ = 2.72 × 10⁷

Accept use of radius 0.3 m giving value 1.36 × 10⁷.

[1 mark]

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Option B: Engineering physics

Option B: Engineering physics » Option B: Engineering physics (Additional higher level option topics) » B.3 – Fluids and fluid dynamics (HL only)

Option B: Engineering physics » Option B: Engineering physics (Additional higher level option topics)

Question 18M.3.HL.TZ1.10c.i

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