Answer:
a
The number of radians turned by the wheel in 2s is 
b
The angular acceleration is 
Explanation:
The angular velocity is given as

Now generally the integral of angular velocity gives angular displacement
So integrating the equation of angular velocity through the limit 0 to 2 will gives us the angular displacement for 2 sec
This is mathematically evaluated as

![= [\frac{2t^2}{2} + \frac{t^4}{4}] \left\{ 2} \atop {0}} \right.](https://tex.z-dn.net/?f=%3D%20%5B%5Cfrac%7B2t%5E2%7D%7B2%7D%20%2B%20%5Cfrac%7Bt%5E4%7D%7B4%7D%5D%20%5Cleft%5C%7B%202%7D%20%5Catop%20%7B0%7D%7D%20%5Cright.)
![= [\frac{2(2^2)}{2} + \frac{2^4}{4}] - 0](https://tex.z-dn.net/?f=%3D%20%5B%5Cfrac%7B2%282%5E2%29%7D%7B2%7D%20%2B%20%5Cfrac%7B2%5E4%7D%7B4%7D%5D%20-%200)


Now generally the derivative of angular velocity gives angular acceleration
So the value of the derivative of angular velocity equation at t= 2 gives us the angular acceleration
This is mathematically evaluated as

so at t=2


Answer:
Part a)

Part b)

Part c)
Since we know that the base area will remain same always
so here the length and width of the object is not necessary to obtain the above data in such type of questions
Explanation:
Part a)
As we know that when cylinder float in the water then weight of the cylinder is counter balanced by the buoyancy force
So here we know
buoyancy force is given as



Now we know that the weight of the cylinder is given as

now we have


Part b)
When the same cylinder is floating in other liquid then we will have

so we have


Part c)
Since we know that the base area will remain same always
so here the length and width of the object is not necessary to obtain the above data in such type of questions
B. Inertia and gravity must be balanced.
Answer:
C. a rolling bowling ball
I just answered this question on my quiz.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The work done by the spring is = 
Explanation:
Force = torque × length
Given
F = 9.13 N
length (L) = 5.91 cm = 0.0591 m [Note 1 m = 100 cm ]
considering the formula above
where k denotes torque

Energy Stored 
