Question

Swordfish are capable of stunning output power for short bursts. A 650 kg swordfish has a cross-sectional area of 0.92 m2 and a drag coefficient of 0.0091- very low due to some evolutionary adaptations. Such a fish can sustain a speed of 30 m/s for a few seconds. Assume seawater has a density of 1026 kg/m3. a) How much power does the fish need to put out for motion at this high speed

Answer 1

the required or need power is 115960.57 Watts

Step-by-step explanation:

First of all, we take down the data we can find from the question, to make it easier when substituting values into formulas.

mass of swordfish m = 650 kg

Cross - sectional Area A = 0.92 m²

drag coefficient C
`_D` = 0.0091

speed v = 30 m/s

density p = 1026 kg/m³

Now, we determine our Drag force F
`_D`

Drag force F
`_D` =
`(1)/(2)` × C
`_D` × A × p × v²

Next, we substitute the values we have taken down, into the formula.

Drag force F
`_D` =
`(1)/(2)` × 0.0091 × 0.92 × 1026 × (30)²

Drag force F
`_D` = 4.294836 × 900

Drag force F
`_D` = 3865.3524

Now, we determine the power needed P
`_w`

P
`_w` = F
`_D` × v

we substitute

P
`_w` = 3865.3524 × 30

P
`_w` = 115960.57 Watts

Therefore, the required or need power is 115960.57 Watts