Can someone help me do this I'm not good at this kind of math
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Answer:
Step-by-step explanation:
In order to solve this problem we can make use of the following formula:
where θ is the total angle the basket has turned, ω is the angular velocity and t is the time.
Generally theta is written in radians and omega is written in radians per second. Now, since the revolutions are directly related to the radians and they want us to write our answer in revolutions, we can directly use the provided speeds in the formula, so we can rewrite it as:
where n represents the number of revolutions and f is the frequency at which the basket is turning.
The movement of the cylindrial basket can be split in two stages, when it accelerates and when it decelerates. So let's analye the first stage:
and now let's analyze the second stage, where it decelerates, so we get:
So now that we know how many revolutions the cylindrical basket will take as it accelerates and as it decelerates we can add them to get:
n=18rev+26rev=44rev
So the basket will turn a total of 44 revolutions during this 22s interval.
First, we need to equalize the denominator. If the denominator multiplies by (x+1), so does the numerator. If the denominator multiplies by (x-1), so does the numerator.
Look into my attachment at the second row.
Second, because the first fraction and the second fraction have the same denominator, you can join them into one fraction.
Look into my attachment at the third row.
Third, simplify the numerator.
Look into my attachment at the fourth to the fifth row
Fourth, simplify the denominator.
Look into my attachment at the sixth to the seventh row.
Look into my attachment at the second row.
Second, because the first fraction and the second fraction have the same denominator, you can join them into one fraction.
Look into my attachment at the third row.
Third, simplify the numerator.
Look into my attachment at the fourth to the fifth row
Fourth, simplify the denominator.
Look into my attachment at the sixth to the seventh row.