Answer and Explanation:
Let:

The equation representing a simple harmonic motion, where:

As you may know the derivative of the position is the velocity and the derivative of the velocity is the acceleration. So we can get the velocity and the acceleration by deriving the position:

Also, you may know these fundamental formulas:

Now, using the previous information and the data provided by the problem, let's solve the questions:
(a)

(b)

(c)

(d)
We can extract the phase of the motion, the angular frequency and the amplitude from the equation provided by the problem:

(e)

(f)

Answer:
a).β=0.53
T
a).β=0.40
T
Explanation:
The magnetic field at distance 'r' from the center of toroid is given by:

a).

b).
The distance is the radius add the cross section so:




Answer:
Uniform Circular Motion
Explanation:
Uniform circular motion can be described as the motion of an object in a circle at a constant speed. As an object moves in a circle, it is constantly changing its direction. At all instances, the object is moving tangent to the circle.
In order for Greg to safely drain the water out of the noodles, he should use potholders or any thing that is does not conduct heat or transfer heat. Some pots are also equipped with handles that are made of plastics for safely transferring of its content to another container.