3 years ago

multiply or divide SHOW YOUR WORK!!!! 3n^2-3 over n^2-1 divided by n^2 over n+1 SHOW YOUR WORK!!!!!

1 answer:

4 0

Here, 3n² - 3 / n² - 1 * (n + 1) / n²
= 3(n² - 1) / (n² - 1) * (n + 1) / n²
= 3(n + 1) / n²
= 3n + 3 / n²

In short, Your Answer would be: (3n + 3) / n²

Hope this helps!

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A playground merry-go-round of radius R = 1.80 m has a moment of inertia I = 255 kg · m2 and is rotating at 9.0 rev/min about a

Degger [83]

Answer:

7 rpm = 0.73 rad/s

Step-by-step explanation:

R = Radius of merry-go-round = 1.8 m

$I_M$ = Moment of inertia of merry-go-round = 255 kg m²

$I_C$ = Moment of inertia of child

ω = 9 rev/min

m = Mass of child = 24 kg

From the conservation of angular momentum

$I\omega=I'\omega '\\\Rightarrow I\omega=(I_M+I_C)\omega'\\\Rightarrow \omega'= \frac{I\omega}{(I_M+I_C)}\\\Rightarrow \omega'=\frac{I\omega}{(I_M+mR^2)}\\\Rightarrow \omega'=\frac{255\times 9}{(255+24\times 1.8^2)}\\\Rightarrow \omega'=6.9\ rev/min$