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Deducing Mathematically

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Question

As a part of a maintenance inspection the compressor of a jet engine is made to spin according to the graph as shown. The number of revolutions made by the compressor during the test is

A

9000

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B

16570

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C

12750

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D

11250

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Solution

The correct option is D 11250
Number of revolution = Area between the graph and time axis = Area of trapezium
$= \frac{1}{2} \times (2.5 + 5) \times 3000 = 11250$ revolution.

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