anonymous
  • anonymous
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
Physics
katieb
  • katieb
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anonymous
  • 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
anonymous
  • 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 :(
anonymous
  • anonymous

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anonymous
  • anonymous
put up what you have so I can see what you're doing
anonymous
  • anonymous
4x25 =100 for a whole circle
anonymous
  • anonymous
idk im lost
anonymous
  • anonymous
(2xpix4)/1 ??
anonymous
  • anonymous
v is the velocity, so plug in 25 for v T is the time, that's 4 You should have this.\[25=\frac{ 2\pi r }{ 4 }\]
anonymous
  • anonymous
r is what you're solving for
anonymous
  • anonymous
so multiply both sides by 4 to get \(100=2\pi r\)
anonymous
  • anonymous
Now divide both sides by \(2\pi\) and let me know what you get
anonymous
  • anonymous
i got 0.062
anonymous
  • anonymous
oh no i mean 157.07
anonymous
  • anonymous
I got 15.9
anonymous
  • 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
anonymous
  • anonymous
Is that one of your answers?
anonymous
  • anonymous
how you got 15.9 ?
anonymous
  • anonymous
I have 16 in my answers i just need know how you got it so i would do it myself next time please
anonymous
  • anonymous
multiply 2π first then divide 100 by that 100/(2π) = 100/6.28 = 15.9
anonymous
  • anonymous
yeah it would be 16 to 2 sig figs
anonymous
  • 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
anonymous
  • anonymous
you're welcome.

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