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Stels [109]
3 years ago
7

In an engine governor, the two spheres (total mass of 1.0kg) are at 0.05m and rotating at 37rad/s If the engine increases the an

gular velocity to 58rad/s what is the new location of the spheres?
Physics
1 answer:
kirill115 [55]3 years ago
8 0

Here we can say that there is no external torque on this system

So here we can say that angular momentum is conserved

so here we will have

I_1\omega_1 = I_2\omega_2

now we have

I_1 = mr^2

I_1 = (1kg)(0.05^2)

I_1 = 25\times 10^{-4} kg m^2

similarly let the final distance is "r"

so now we have

I_2 = mr^2

I_2 = 1r^2

now from above equation we have

(25\times 10^{-4})37 = (r^2)(58)

r = 0.04 m

so final distance is 0.04 m between them

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