3 years ago

Which property states that if a = b and b = c, then a = c?

1 answer:

6 0

Transitive.

Associative is (a + b) + c = a + (b + c)

Commutative is a + b = b + a

Reflexive is a = a

Thus, transitive is the correct answer.

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

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