To find the given values we will first use the kinetic energy in order to find the speed. From the speed we can relate the term term the Pitch and the Radius. Below we will first present our given values and then perform the calculations:
=
Under the definition of Kinetic energy we have then,
Replacing with the values that we have to find the velocity,
Rearranging to find the velocity,
PART A) The period is given as the relation
Replacing with our values,
PART B) The Pitch is given by,
PART C) Now the radius is given under the equation
r = 0.001025m
1st Question:
There are 4 formulas involving angular velocity:
For the first question, we are given the initial angular velocity (ωo), final angular velocity (ωf), and the amount of time. The question is asking us to find the angular acceleration (α).
Knowing this information, we can use
Lets plug in the values given in the question:
Now we just solve for
Subtract 11 from each side
Divide each side by 4.5 sec.
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2nd Question:
For the second question, we want to find the change in distance (which is AKA radians). So we know we would need to use either the 1st, 3rd or the 4th equation. We are given time (t=45 s), the initial velocity (wo=0 rad/s), and the final velocity (w=245 rad/s). Since the 4th equation doesn't have time, and the 3rd equation has angular acceleration (which we weren't given), we know we will need to use the 1st equation.
(in which w is the change in velocity. Which for this case, would be 245-0)
Simplify
Its is solute. The dissolved substance. In salt water, salt is the solute and water is the solvent.