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Standard IX

Physics

Viscous Force

A helicopter ...

Question

A helicopter of mass $1000 k g$ rises with a vertical acceleration of $15 m / s^{2}$ . The crew and the passengers weigh $300 k g$ . Give the magnitude and direction of the
"force on the helicopter due to the surrounding air."

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Solution

Step 3: Draw free body diagram of helicopter with passengers and crew.

Step 4: Find action on the rotor.

Let action of the air on the rotor is $F$ , then using Newton’s second law of motion.

$F - m g = m a$
$F = m (g + a)$
$= 1300 (10 + 15)$
$= 32500 N$

So, force on the helicopter due to the surrounding air is $32500 N$ , in upward direction.

And using newton’s third law of motion, the action of the rotor on the surrounding air will be $= 32500 N$ acting downwards

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Viscous Force

Standard IX Physics

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A helicopter of mass 1000 kg rises with a vertical acceleration of 15 m/s2. The crew and the passengers weigh 300 kg. Give the magnitude and direction of the "force on the helicopter due to the surrounding air."

A helicopter of mass $1000 k g$ rises with a vertical acceleration of $15 m / s^{2}$ . The crew and the passengers weigh $300 k g$ . Give the magnitude and direction of the
"force on the helicopter due to the surrounding air."