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Standard XII

Physics

Introduction

A horse is ti...

Question

A horse is tied to a post by a rope If the horse moves along a circular path always keep the rope tight and describes $88$ metres when it has traced out $72^{\circ}$ at the center, then the length of rope is

60 m

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65 m

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70 m

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72 m

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Solution

The correct option is C $70 m$
$Since we know that angle in radian θ = \frac{a r c l e n g t h}{r a d i u s}$
Here, $θ = 72^{0} = \frac{π}{180} \times 72 = \frac{2 π}{5}$
and arc length=88 m

$∴ \frac{2 π}{5} = \frac{88}{r a d i u s}$
radius= $70 m$

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A horse is tied to a post by a rope If the horse moves along a circular path always keep the rope tight and describes 88 metres when it has traced out 72∘ at the center, then the length of rope is

The correct option is C 70mSince we know that angle in radian θ=arclengthradiusHere, θ=720=π180×72=2π5and arc length=88 m∴2π5=88radiusradius= 70m

A horse is tied to a post by a rope If the horse moves along a circular path always keep the rope tight and describes $88$ metres when it has traced out $72^{\circ}$ at the center, then the length of rope is

The correct option is C $70 m$
$Since we know that angle in radian θ = \frac{a r c l e n g t h}{r a d i u s}$
Here, $θ = 72^{0} = \frac{π}{180} \times 72 = \frac{2 π}{5}$
and arc length=88 m

$∴ \frac{2 π}{5} = \frac{88}{r a d i u s}$
radius= $70 m$