A table fan rotating at a speed of 2400 rpm is switched off and the resulting variation of revolution/minute with time is shown in figure. The total number of revolutions of the fan before it, comes to rest is
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Total revolution before stopping= area of oABC +area of∆BCD
So area of trapezium=1/2(sum of || side × height)
=1/2(2400+600)×8/60
=1/2×3000×8/60
=200revolutions
Area of∆=1/2 ×b×h
=1/2×600×16/60
=80 revolution
Total revolution=200+80=280
Hence proved
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