Question

American eels (Anguilla rostrata) are freshwater fish with long, slender bodies that we can treat as a uniform cylinder 1.0 m long and 10 cm in diameter. An eel compensates for its small jaw and teeth by holding onto prey with its mouth and then rapidly spinning its body around its long axis to tear off a piece of esh. Eels have been recorded to spin at up to 14 rev/s when feeding in this way. Although this feeding method is energetically costly, it allows the eel to feed on larger prey than it otherwise could.An eel researcher uses the slow-motion feature on her phone's camera to shoot a video of an eel spinning at its maximum rate. The camera records at 120 frames per second. Through what angle does the eel rotate from one frame to the next?A. 1° B. 10° C. 22° D. 42°

Answer 1

Answer:

option D

Explanation:

given,

uniform length of cylinder = 1 m

diameter of the cylinder = 10 cm = 0.1 m

Eels have been recorded to spin = 14 rev/s

camera records at = 120 frames per second

time = $\dfrac{1}{120}\ s/frame$

angle at which eel rotate = ?

ω = 14 rev/s

ω = 14 x 2 π rad/s

ω = 28 π rad/s

angle at which eel rotate

 θ = ω t

θ = $28\pi\times \dfrac{1}{120}$

θ = 0.733 rad

θ =$0.733 \times \dfrac{180^0}{2\pi}$

θ =$42^0$

Hence, the correct answer is option D

Answer 2

The angle of rotation is the angle at which the object is rotate about the fixed point.

The angle at which the eel rotates from one frame to next frame is 42 degree.

Given that, we can treat the eel as a uniform cylinder.

So, uniform length of cylinder = 1 $\rm m$  and diameter of the cylinder = 10 $\rm cm$ = 0.1 $\rm m$. Eels have been recorded to spin at up to 14 rev/s when feeding in this way. The camera records at 120 frames per second.

Time taken by the camera to record one frame is $t\;=\; \dfrac {1} {120} \;\rm s/\rm frame$

Revolution done by eel in radian per second is 14.

Angular Velocity is  $\omega\;=\; 14\;\times\;2\pi\;\times\;0.1\;\rm rad/s$.

The angle of rotation can be calculated by the formula given below.

Angle of rotation   $\theta=\omega\;\times\;t$.

Substituting the values in the above formula, the angle of rotation is,

$\theta\;=\;14\;\times\;2\;\times\;3.14\;\times\;0.1\;\times\;\dfrac {1}{120}\;\rm rad$

 $\theta=0.0733\;\rm rad$

$\theta=0.0733\;\times\;\dfrac {360^\circ}{2\pi}$

$\theta=41.5^\circ$ or $42^\circ$.

The angle at which the eel rotates from one frame to next frame is 42 degree.

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https://brainly.com/question/17671314.