## anonymous one year ago An object moves in uniform circular motion at 25 m/s and takes 1.0 second to go a quarter circle. What is the radius of the circle ? helpppppp me

1. anonymous

If it takes 1 second to go a quarter circle, it takes 4 seconds to go the whole circle. The circumference of the circle is the distance traveled, so that's $$2\pi r$$. $v=\frac{2\pi r}{T}$ where v = 25 m/s and T = 4.0 s Solve for r

2. anonymous

heres the thing i know that it takes 4 second to go the whole circle and i know thats the formula but idk how to plug them i keep getting wrong numbers :(

3. anonymous

@peachpi

4. anonymous

put up what you have so I can see what you're doing

5. anonymous

4x25 =100 for a whole circle

6. anonymous

idk im lost

7. anonymous

(2xpix4)/1 ??

8. anonymous

v is the velocity, so plug in 25 for v T is the time, that's 4 You should have this.$25=\frac{ 2\pi r }{ 4 }$

9. anonymous

r is what you're solving for

10. anonymous

so multiply both sides by 4 to get $$100=2\pi r$$

11. anonymous

Now divide both sides by $$2\pi$$ and let me know what you get

12. anonymous

i got 0.062

13. anonymous

oh no i mean 157.07

14. anonymous

I got 15.9

15. anonymous

see 0.06 is one of my answers but 157.07 is not and that what i had gotton before you come to help me

16. anonymous

17. anonymous

how you got 15.9 ?

18. anonymous

I have 16 in my answers i just need know how you got it so i would do it myself next time please

19. anonymous

multiply 2π first then divide 100 by that 100/(2π) = 100/6.28 = 15.9

20. anonymous

yeah it would be 16 to 2 sig figs

21. anonymous

oh thats explains it yeah i put them all together in the calc and thats why it gave me 157 THANK you so MUCH

22. anonymous

you're welcome.

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