A race car goes from a complete stop at the start line to 150 miles per hour in 5 seconds. What is its acceleration? Show your w
1 answer:
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Answer:
a
The New angular speed is
b
The Kinetic energy before the masses are pulled in is
c
The Kinetic energy after the masses are pulled in is
Explanation:
From the we are told that masses are 1.08 m from the axis of rotation, this means that
The radius
The mass is
The angular speed
The moment of inertia of the system excluding the two mass
New radius
Generally the conservation of angular momentum can be mathematical represented as
Where is the final angular speed
is the initial angular speed
is the initial moment of inertia
is the final moment of inertia
Moment of inertia is mathematically represented as
Where I is the moment of inertia
m is the mass
r is the radius
So the Initial moment of inertia is given as
The multiplication by is because we are considering two masses
So the final moment of inertia is given as
Substituting these values into equation 1
Generally Kinetic energy is mathematically represented in term of moment of inertia as
Now considering the kinetic energy before the masses are pulled in,
The Moment of inertia would be
The Angular speed would be
Now substituting these value into the equation above
Now considering the kinetic energy after the masses are pulled in,
The Moment of inertia would be
The Angular speed would be
Now substituting these value into the equation above