Energy can transform between different types. For each of the following examples, identify two energy transformations and the ty
1 answer:
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Answer:
46.2 rad/s2
Explanation:
Angular acceleration works very similar to linear acceleration, it follows this equation:
Where:
γ: angular acceleration
Mt: torque
J: moment of inertia of the load from its turning axis
Since we have the torque we just need the moment of inertia. We have to add together the moments of the drive shaft, tires, wheel walls and wheels.
The wheels act like disks. For disks the moment of inertia is:
The wheel walls act like annular rings, for these the moment of inertia is:
The tread acts like a hoop, as in mass concentrated into a circunference, for these:
The axle acts like a rod, which is the same as the disk:
The drive shaft acts like a rod too:
SO, the total moment of inertia is:
J = 2*Jwheel + 2*Jwall + 2*Jtread + Jaxle + Jshaft
J = 2*0.243 + 2*0.07 + 2*1.09 + 0.0028 + 0.016 = 2.82 kg*m2
Finally the angular acceleration is:
The average power output is the ratio between the work done to compress the spring, W, and the time taken, t:
(1)
The work done is equal to the elastic energy stored by the compressed spring:
where
is the spring constant and 
is the compression of the spring. If we substitute the numbers, we find:
And now we can use eq.(1) to calculate the average power output:
The work done is equal to the elastic energy stored by the compressed spring:
where
And now we can use eq.(1) to calculate the average power output: