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Nutka1998 [239]
2 years ago
15

You toss a conductive open ring of diameter d = 1.75 cm up in the air. The ring is flipping around a horizontal axis at a rate o

f 6.25 flips per second. One flip is a full rotation. At your location, the earth's magnetic field is B e = 30.5 μT. What is the maximum emf induced in the ring?
Physics
1 answer:
Mama L [17]2 years ago
8 0

Answer:

The maximum emf induced in the ring

= (2.882 × 10⁻⁷) V

Explanation:

According to the law of electromagnetic induction, the emf induced in the ring is given by

E = N BA w sin wt

The maximum emf induced is

E = N BA w

B = 30.5 μT = (30.5 × 10⁻⁶) T

A = (πD²/4)

D = 1.75 cm = 0.0175 m

A = (π×0.0175²/4) = 0.000240625 m²

Nw = 2π × 6.25 = 39.29 rad/s

E = 30.5 × 10⁻⁶ × 0.000240625 × 39.29

E = (2.882 × 10⁻⁷) V

Hope this Helps!!!

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Answer:

Action and reaction are the same

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6) A map in a ship’s log gives directions to the location of a buried treasure. The starting location is an old oak tree. Accord
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At time t, gives the position of a 3.0 kg particle relative to the origin of an xy coordinate system ( ModifyingAbove r With rig
Elena-2011 [213]

Complete Question

  The complete Question is shown on the first uploaded image

Answer:

a

The torque acting on the particle is  \tau = 48t \r k

b

The magnitude of the angular momentum increases relative to the origin

Explanation:

From the equation we are told that

      The position of the particle is   \= r = 4.0 t^2 \r i - (2.0 t - 6.0 t^2 ) \r j

       The mass of the particle is m = 3.0 kg

        The time is  t

   

The torque acting on  the particle is mathematically represented as

           \tau = \frac{ d \r l }{dt}

where \r l is change in angular momentum which is mathematically represented as

       \r l = m (\r r \ \ X  \ \ \r v)

Where X mean cross- product

   \r v is the velocity which is mathematically represented as

           \r v = \frac{d \r r }{dt}

Substituting for  \r r

           \r v = \frac{d }{dt} [ 4 t^2 \r i - (2t + 6t^2 ) \r j]

           \r v =  8t \r i - (2 + 12 t) \r j

Now the cross product of \r r \ and \ \r v is  mathematically evaluated as    

          \r r  \  \ X \ \ \r v = \left[\begin{array}{ccc}{\r i}&{\r j}&{\r k}\\{4t^2}&{-2t -6t^2}&0\\{8t}&{-2 -12t}&0\end{array}\right]

                       = 0 \r i + 0 \r j + (- 8t^2 -48t^3 + 16t^2 + 48t^3 ) \r k

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Substituting for m

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Substituting into equation for torque

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The magnitude of the angular momentum can be evaluated mathematically as

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        |\r l| = 24 t^2

From the is equation we see that the magnitude of the angular momentum is varies directly with square of the time so it would relative to the origin because at the origin t= 0s and we move out from origin t increases hence angular momentum increases also

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Explanation:

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