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Andru [333]
3 years ago
15

Suppose that you needed to make a pen for some small animals. You have 12 m of fencing. You decide to make a circular pen, becau

se if you wish to enclose an area using a given length of fencing, then a circular fence encloses a larger area than a fence of any other shape. What is the radius r of the pen? Express your answer in meters to four significant figures.
Physics
1 answer:
Lady_Fox [76]3 years ago
8 0

Answer:

1.909 m

Explanation:

Length of fence = 12 m

r = Radius of circle made by the provided fence

Cirumference of a circle is given by

C=2\pi r

The circumference of the circle will be equal to the length of the fence

2\pi r=12

\\\Rightarrow r=\dfrac{12}{2\pi}

\\\Rightarrow r=1.909\ m

The radius of the fence is 1.909 m

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A circular loop of flexible iron wire has an initial circumference of 165cm , but its circumference is decreasing at a constant
ArbitrLikvidat [17]

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emf induced is 0.005445 V and direction is clockwise because we can see area is decrease and so that flux also decrease so using right hand rule direction of current here clockwise

Explanation:

Given data

initial circumference = 165 cm

rate = 12.0 cm/s

magnitude = 0.500 T

tome = 9 sec

to find out

emf induced and direction

solution

we know emf in loop is - d∅/dt    ........1

here ∅ = ( BAcosθ)

so we say angle is zero degree and magnetic filed is uniform here so that

emf = - d ( BAcos0) /dt

emf = - B dA /dt     ..............2

so  area will be

dA/dt = d(πr²) / dt

dA/dt = 2πr dr/dt

we know 2πr = c,

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c is circumference so from equation 2

emf = - B 2πr dr/dt    ................3

and

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radius = 9.08 10^{-2} cm

so now from equation 3 we find emf

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and magnitude of emf = 0.005445 V

so

emf induced is 0.005445 V and direction is clockwise because we can see area is decrease and so that flux also decrease so using right hand rule direction of current here clockwise

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2 years ago
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