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Sagot :
Answer:
w = 3.6087 10⁶ rpm
Explanation:
The centripetal acceleration is
a = v²/r
where r is the distance from the center of rotation and v is the magnitude of the velocity
let's reduce to the SI system
r = 7.0 cm (1m / 100cm) = 0.070 m
the angular and linear variables are related
v = w r
we substitute
a = w² r
w = [tex]\sqrt{\frac{a}{r} }[/tex]
w = [tex]\sqrt{ \frac{100000^2}{0.07} }[/tex]
w = 3.779 10⁵ rad / s
let's reduce to rpm
w = 3.779 10⁵ rad / s (1rev / 2pi rad) (60 s / 1min)
w = 3.6087 10⁶ rpm
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