Question

A body rotate around a circular path of radius 2 m and speed 10m/s. Find the acceleration of the body.​

Answer 1

Given,

» Radius of the circular path (r) = 2m

» Speed of the body (s) = 10m/s

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★ Formula used ::

$\;\boxed{\sf{\pink{Acceleration\;in\;circular\;motion=\dfrac{s^2}{r}}}}$

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» Substituting the values in the formula,

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$:\implies\tt{\dfrac{10^2}{2}}$

$~~~~~$

$:\implies\tt{\dfrac{10\times 10}{5}}$

$~~~~~~~~~~$

$:\implies\tt{10\times 5}$

$~~~~~~~~~~~~~~~$

$:\implies\tt{\green{50\;m/s^2}}$

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Hence, acceleration of the body is 50m/s².

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$\underline{\boxed{\tt{Acceleration={\purple{\bf{50\;m/s^2}}}}}}$

Answer 2

Given :-

• A body rotate around a circular path of radius 2 m

• Speed of that body is  10m/s.

To Find :-

• Find the acceleration of the body.​

Solution :-

~As we know that,

When an object is is circular motion, the formula for finding it's acceleration can be ::

⍟ s²/r

Where,

• s is speed
• r is radius

Finding the acceleration :-

⟶ 10²/2

⟶ 10 × 10/2

⟶ 100/2

⟶ 50 m/s²

__________

Hence,

• Acceleration of that body which was rotating around a circular path is 50 m/s²