Answer:
The estimated average output power of the insect is P= 0.196 Watts.
Explanation:
g= 9.8 m/s²
m= 10g = 0.01 kg
d= 1 cm = 0.01 m
sps =strokes per second= 100/s
P= ?
W= m *g = 0.098 N
F= 2 * W
F= 0.196 N
P= F * d * sps
P= 0.196 N * 0.01m * 100 s⁻¹
P= 0.196 Watts
The average power output of the typical flying insect for the downward stroke during hovering is 0.196 watt.
Power is the energy required to perform a particular work. The Power output to do a work is the product of force and the displacement.
[tex]P=Fd[/tex]
Here, (F) is the force and (d) is the displacement.
If the number of stroke given, then the formula of power output can be given as,
[tex]P=Fdn[/tex]
Here, (n) is the number of strokes per second.
A typical flying insect applies an average force equal to twice its weight during each downward stroke while hovering.
The mass of the insect is 10 g, and the gravitational force is 9.8 m/s². Thus, the weight of the insect is,
[tex]W=mg\\W=0.01\times9.8\\W=0.098\rm N[/tex]
Now, a flying insect applies an average force equal to twice its weight. Thus, the magnitude of average force is,
[tex]F=2W\\F=2\times0.098\\F=0.196\rm N[/tex]
Now, the wings move an average downward distance of 1.0 cm during each stroke and there is total 100 downward strokes per second, Thus, the average power output of the insect is find out using the formula of power output as,
[tex]P=Fdn\\P=0.196\times0.01\times100\\P=0.196\rm Watt[/tex]
Thus, the average power output of the typical flying insect for the downward stroke during hovering is 0.196 watt.
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