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The aerodynamic drag on an aeroplane is given by D=bv^2 Then the power output of an aeroplane crashing at a constant speed v is proportional to Ans. is v^3 How?
Most Upvoted Answer
The aerodynamic drag on an aeroplane is given by D=bv^2 Then the power...
Explanation:

  • Aerodynamic drag: The resistance force experienced by an object moving through a fluid (air) is called aerodynamic drag. It is denoted by D and is given by D = bv^2, where b is a constant.

  • Power output: The power output of an aeroplane is the rate at which work is done. It is given by the product of force and velocity. In this case, the force is the aerodynamic drag and the velocity is constant. Therefore, the power output is P = Dv = bv^3.

  • Proportional: If one quantity is proportional to another, it means that they increase or decrease together in a linear manner. In this case, the power output is proportional to v^3, which means that if the speed of the aeroplane is doubled, the power output will increase by 8 times (2^3 = 8).

Community Answer
The aerodynamic drag on an aeroplane is given by D=bv^2 Then the power...
P=F×v ... D=drag force=bv^2 ....
P=b × v^2 × v ... P= bv^3 ...
hence P is directly proportional to v^3 as b is a constant....
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