Hi there!
a.
We can use the initial conditions to solve for w₀.
It is given that:

We are given that at t = 0, ω = 3.7 rad/sec. We can plug this into the equation:

Now, we can solve for sigma using the other given condition:

b.
The angular acceleration is the DERIVATIVE of the angular velocity function, so:

c.
The angular displacement is the INTEGRAL of the angular velocity function.




Convert this to rev:

d.
We can begin by solving for the time necessary for the angular speed to reach 0 rad/sec.

Evaluate the improper integral:



Convert to rev:

Answer:33.33 m/s
Explanation: In order to calculate this conversion we have to use:
1 mile = 1.6 km and also to convert Km/h to m/s the factor is 1000/3600
then we have: 75*1.6*0.27=33.33 m/s
This reaction, known as nuclear fusion, converts hydrogen atoms into helium. The by-product of nuclear fusion in theSun's core is a massive volume ofenergy that gets released and radiates outward toward the surface of the Sunand then into the solar system beyond it.
just reword it