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Classical Mechanics Level 2

A body moves along the circumference of a circle with radius 6m. It moves 6.28m along the circumference in 2 seconds. Find its average velocity. (π=3.14m) Answer should be in m/s


The answer is 3.

Harisam Sharma by Harisam Sharma , 19, India

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2 solutions

Kushagra Yadav
Dec 28, 2015

(Not a solution)The body covers 6.28m=1/6circumference angle subtended by this arc =60 An equilateral triangle is formed with side=r=6m Displacement=6m Velocity=6/2 =3m/s

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Harisam Sharma
Dec 28, 2015

As the body moves along the circumference it forms a sector whose length of arc is 6.28m We know that if the subtended angle is x, then the circumference of the arc is x/360 *2πr. Therefore, the value of x comes as 60. Now we can construct an angle bisector which bisects the cord(displacement). So in one of the two triangles formed, the hypotenuse is 6 and we know that one angle is 30(half of 60) Applying trigonometry,we find that the length of the base is 3m. So displacement is 6m. Time=2sec So, average velocity= 3m/s

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Fine solutions. Did the same way as Kushagra.

Shreyash Rai - 5 years, 5 months ago

Same solution here.... Nice problem, tests the basics of a person

Siddhant Chaudhari - 5 years, 5 months ago

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