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A certain string breaks when a weight of 25N acts on it. A mass of 500gm is attached to one end of the string of 1m long and is rotated in a horizontal in a horizontal circle. Find the greatest number of revolutions per minute which can be made without breaking the string?

Given,
 
Maximum string (Tmax)=25N
Mass of the object (m)=500gm=0.5kg
Radius of circle (r)=1m
Frequency (f)=?
We have,

Tmax=mv2r=mω2r = Centripetal Force
or, Tmax=m(2πf)2r
25=0.54π2f21

f2=250.54π21=1.266 rev/sec
f=1.125 rev/sec

f=1.12560rpm=67.5rpm
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