Answer:
[tex]599.7 ms^{-1}[/tex]
Explanation:
Assume that the bullet is shot at a velocity of (v m/s) and it will take t time to pass the second plate.
by the definition of then angular velocity (ω)
ω=\frac{angular displacement}{time }[/tex]
[tex]=\frac{360degrees}{6.67*10^{-4} *60 }\\=8995.5 deg/s[/tex]
Lets find the time to turn the next plate by 12 degrees , using θ=ωt
]t=\frac{12}{8995.5} =1.334*10^{-3}[/tex]
the bullet has to travel 80cm in this much of time to make a hole in the second plate. We can find the speed using this equation
(we have to convert cm into meters first)
[tex]speed=\frac{distance}{time}\\speed=\frac{80*10^{-2} }{1.4*10^{-3} } \\speed=599.7 ms^{-1}[/tex]
