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## 3psilon 3 years ago A particle moves in a circle of radius 90m with a constant speed of 25 m/s . What is the angular velocity in radians per second about the center of the circle?

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1. soty2013

|dw:1351140725393:dw|

2. Aperogalics

2*pi*r=565.484 time taken =565.484/25=22.6194sec so $\omega$=2*pi/22.6194=0.2831rad/sec

3. Aperogalics

:)

4. Algebraic!

or V=r*omega omega =V/r

5. 3psilon

That's the route I went @Algebraic!

6. 3psilon

But I got a small number , how do i convert it into radians

7. Aperogalics

multiply it with (pi/180) which converts it into radians:)

8. Algebraic!

it's already in radians /sec

9. Algebraic!

.277777777777 rad.s/sec

10. Algebraic!

look at it this way... it's only going 25 m/s ... it's going to take a while to go around the circle once... 2pi/.2777777777 in fact, is how long one complete rev. will take...

11. Algebraic!

@aperogalics showed that explicitly...

12. 3psilon

ohh okay okay ! Thank you @Algebraic!

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