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DerKrebs [107]
3 years ago
10

It is known that birds can detect the earth's magnetic field, but the mechanism of how they do this is not known. It has been su

ggested that perhaps they detect a motional EMF as they fly north to south, but it turns out that the induced voltages are small compared to the voltages normally encountered in cells, so this is probably not the mechanism involved. To check this out, calculate the induced voltage for a wild goose with a wingspan of 1.2 m flying due south at 13 m/s at a point where the earth's magnetic field is 5 × 10-5T directed downward from horizontal by 40°. The expected voltage would be about
Physics
1 answer:
san4es73 [151]3 years ago
8 0

Answer:

EMF = 5.01 \times 10^{-4} Volts

Explanation:

Here we know that the EMF induced in this Field is given as

EMF = vBL

here B = perpendicular component of magnetic field

v = speed of the bird

L = length of the wings

now we have

B = 5\times 10^{-5} sin40

v = 13 m/s

L = 1.2 m

now we have

EMF = (13)(3.21 \times 10^{-5})(1.2)

EMF = 5.01 \times 10^{-4} Volts

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Answer:

A) \omega_f=17.503\ rad.s^{-1}

B) t=55.6822\ s

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Explanation:

Given:

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360\pi=15\pi\times 35+\frac{1}{2} \times \alpha\times35^2

\alpha=-0.8463\ rad.s^{-2}

Negative sign denotes deceleration.

A)

Now using the equation:

\omega_f=\omega_i+\alpha.t

\omega_f=15\pi-0.8463\times 35

\omega_f=17.503\ rad.s^{-1} is the angular velocity of the flywheel when the power comes back.

B)

Here:

\omega_f=0\ rad.s^{-1}

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0=15\pi-0.8463\times t

t=55.6822\ s is the time after which the flywheel stops.

C)

Using the equation of motion:

\theta=\omega_i.t+\frac{1}{2} \alpha.t^2

\theta=15\pi\times 55.68225-0.5\times 0.8463\times 55.68225^2

\theta=1312\ rad revolutions are made before stopping.

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