4. A body of mass 1 kg is tied with one end of a wire and it is
whirled in horizontal plane. Cross-sectional area of the
wire is 10m2 and breaking stress is 4.0 x 108N/m?
By how much maximum angular speed the body can be
whirled?
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Answer:
till the time stress in wire can withstand centripetal force M omega square R.
FORCE 《 Breakingbstressx Crosse sectional Area of wire
Length of Wir= 1 m
Ang Vekocity = w
Mass at end = 1 Kg
BS = 4x 10^8 N per m^2= 400 N/ mm^2
radius of wire = 10 mm^2
so 1. w^2.1= 3.14 x100x 400= 12 56 x 10^4
w = 354 rad per sec
frequency = 56 cycles per second.
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