You observe a spiral galaxy with a large central bulge and tightly wrapped arms. It would be classified a
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Answer:
W = 0.678 rad/s
Explanation:
Using the conservation of energy:
Roll up and hill without slipping is the sumatory of two energys, rotational and translational, so:
where I is the moment of inertia, W the angular velocity at the base of the hill, m the mass of the ball, V the velocity at the base of the hill, g the gravity and h the altitude.
First, we will find the moment of inertia as:
I =
where m is the mass and R the radius, so:
I =
I = 36.26 Kg*m^2
Then, replacing values on the initial equation, we get:
also we know that:
V =WR
so:
Finally, solving for W, we get:
W = 0.678 rad/s