body travels along the circumference of a circle of radius 2 m with a linear velocity of 6 m/s . Then its angular velocity is *
(a) 6 rad /s
(b) 3 rad /s
(c) 2 rad / s
(d) 4 rad / s
Answers
Answered by
6
Given:
Body travels along the circumference of a circle of radius 2 m with a linear velocity of 6 m/s .
To find:
Angular velocity ?
Calculation:
- Angular velocity is an axial vector representing the rotational analogue of linear velocity.
- Let angular velocity be .
So, angular velocity is 3 rad/s
Answered by
40
Given :-
- Radius = 2 metre .
- Linear Velocity = 6 m/s .
⠀⠀⠀⠀⠀⠀⠀
To Find :-
- Angular Velocity = ?
⠀⠀⠀⠀⠀⠀⠀
Solution :-
⠀⠀⠀⠀⠀⠀⠀
∓ Here, we have to calculate the Angular Velocity of the body .
⠀⠀⠀⠀⠀⠀⠀
★ Formula :-
- denotes to Angular Velocity .
- V denotes to Linear Velocity .
- R denotes to Radius of Cirlce .
⠀⠀⠀⠀⠀⠀⠀
∓ Now, let's substitute -----
⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀
Hence :-
- B option is correct [ 3 rad/s ] .
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