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A helicopter of mass 1000 kg rises with vertical acceleration of 15 ms^(-2). The crew and the passengers weight 300 kg. Give the magnitude and direction of the(a) force on the floor by the crew and passengers(b) action of the rotor of the helicopter on the surrounding air (c ) force on the helicopter due to the surrounding air

Answer» <html><body><p></p>Solution :Here, mass of the helicopter, `m_(1)=1000 kg`<br/>Mass of the crew and passengers<br/>`m_(2)=<a href="https://interviewquestions.tuteehub.com/tag/300-305868" style="font-weight:bold;" target="_blank" title="Click to know more about 300">300</a> kg`<br/>Upward acceleration `a = 15 ms^(-2)` and `g=10 ms^(-2)`<br/>(a) Force on the floor of helicopter by the crew and passenger = appeared weight of crew and passengers<br/>`= m_(2)(g+a)`<br/>`=300 (10+15)=<a href="https://interviewquestions.tuteehub.com/tag/7500-335415" style="font-weight:bold;" target="_blank" title="Click to know more about 7500">7500</a> N`<br/>(b) Action of rotor of helicopter on <a href="https://interviewquestions.tuteehub.com/tag/surrounding-1235953" style="font-weight:bold;" target="_blank" title="Click to know more about SURROUNDING">SURROUNDING</a> air is obviously vertically downwards because helicopter rises on account reaction to this force.<br/>Thus, force of action `F=(m_(1)+m_(2))(g+a)`<br/>`= (1000+300)(10+15)`<br/>`= 1300xx25=32500 N`<br/>(<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a> ) Force on the helicopter due to surounding air is the reaction. As action and reaction are equal and <a href="https://interviewquestions.tuteehub.com/tag/opposite-1137237" style="font-weight:bold;" target="_blank" title="Click to know more about OPPOSITE">OPPOSITE</a>, therefore, force of reaction `F^(1)=32500 N`, vertically upwards.</body></html>


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