Uniform circular motion mass problem

AI Thread Summary
A mass of 1.5 kg moves in a circle with a radius of 25 cm at a rate of 2 revolutions per second. The tangential velocity is calculated to be 3.14 m/s, with a radial acceleration of 39.4 m/s² directed inward. The required centripetal force for this motion is determined to be 59 N. The calculations involve converting the radius to meters and determining the period of rotation. The discussion highlights the importance of understanding the relationship between velocity, radius, and centripetal force in uniform circular motion.
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Homework Statement


A mass of 1.5 kg moves in a circle of radius 25 cm at 2 rev/s. Calcualte (a) the tangential velocity, (b) the acceleration, (c) the required centripetal force for the motion.
Answers:
A) 3.14 m/s
B) 39.4 m/s^2 radially inward
C) 59 N


Homework Equations


v=2piR/T


The Attempt at a Solution


(for part a)
V = 2 pi 25 / T
but what is T?

then i tried:
F = ma = mv^2/r
v^2=Fm/r
v= (the square root of)Fm/r
but I don't know what F is.
 
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I think I've got it!

V= 2 pi r / t
V= 2 pi .25 / .5
V=1.57/.5
V=3.14 m/s

r = .25, not 25, because it has to be in meters.
and t = .5 because if it takes 1 second to make 2 revolutions, it must take .5 seconds to make one revolution.

yay (:
 

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