Question

an object moves along a circular path of radius 10m. calculate the speed of the object. if it compleates one rpund in 10sec
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Answer 1

Answer:

1st calculate the circumference of the path=2*22/7*10=440/7

now speed

440/7/10=440/70=44/7=6.28m/s

Answer 2

Explanation:

If an object moves around a circular track of radius 10m with speed pm/s, then what is the displacement in 10 sec?

Answer

3

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1 Answer



Gopal Menon, B Sc (Hons) Mathematics, Indira Gandhi National Open University (2010)

Answered November 18, 2018

If a object moves around a circular track of radius 1010 m with speed pp m/s. then what is the displacement after 1010 s?

Assume without loss of generality that the centre of the circular track is at the origin of the Cartesian plane and that the initial position of the object is on the positive X axis.

The radius of the circular track is r=10r=10 m.

⇒⇒ The coordinates of the initial position are (10,0).(10,0).

The speed of the object is pp m/s.

⇒⇒ The angular velocity is pr=p10pr=p10 radians/s.

⇒⇒ In 1010 s the angular displacement would be p10×10p10×10=p radians.

⇒⇒ The coordinates of the final position are (10cosp,10sinp).(10cos⁡p,10sin⁡p).

⇒⇒ The magnitude of the displacement is

(10−10cosp)2+(0−10sinp)2−−−−−−

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