- #1

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- Homework Statement
- A ball of 5.0 kg mass is attached to the end of a long wire and whirled around in a perfect

circle of 0.9 m radius in the vertical plane. Calculate the following:

Calculate the Minimum Velocity and Minimum Angular Velocity

- Relevant Equations
- #F= m\frac{v^2}{r} = mw^{2}r#

#m: Mass#

#v: Speed#

#r: Circle Radius#

#w: Angular Velocity#

#F= m\frac{v^2}{r} = mw^{2}r#

#m=5#

#r=0.9#

#F= 5\frac{v^2}{0.9} = (0.9)5w^{2}#

#5\frac{v^2}{0.9} = (0.9)5w^{2}#

#\frac{v^2}{0.9} = (0.9)w^{2}#

#v=0.9w#

then I get stuck cause I have both unknowns in one equations (i bet it has something to do with the question’s use of “minimum” but I don’t know where to go from here) so help mee thx

#m=5#

#r=0.9#

#F= 5\frac{v^2}{0.9} = (0.9)5w^{2}#

#5\frac{v^2}{0.9} = (0.9)5w^{2}#

#\frac{v^2}{0.9} = (0.9)w^{2}#

#v=0.9w#

then I get stuck cause I have both unknowns in one equations (i bet it has something to do with the question’s use of “minimum” but I don’t know where to go from here) so help mee thx