Name: Arc Length Word Problem | 视频 | 干净世界
Uploaded: 2023-12-01T23:22:41.431Z
Duration: 2 min 53 s
Description: In this video you will learn how to solve a word problem using the arc length formula. Transcript Number 3 Find the distance traveled in one back and forth sw... | 视频 | 干净世界

MooMooMath and Science

https://video2-us-west.cloudokyo.cloud/video/v6/92/43/01/924301e7-a840-4f07-9fad-7734df274c97/master.m3u8

In this video you will learn how to solve  a word problem using the arc length formula.

Transcript
Number 3 Find the distance traveled in one back and forth swing by the weight of a 12 inch pendulum that swings at a 75 degree angle.
This is now a review problem.
We have a pendulum, and the balls go back and forth. 
The pendulum is swinging at 75 degrees
The length of the pendulum is 12 inches.
Find the distance traveled in one back and forth motion.
What am I finding?
What is this part of the curve called?
Is it sector area or arc length
I hope you are saying arc length.
The trick on the arc length problem is that we are not finding one direction, but we are finding it back and forth.
Therefore, what ever we get we will double.
Remember the formula.
The measure over 360 times diameter times pi
What is our diameter if the pendulum swing is 12?
That would be 24.
So our diameter is 24 times pi
Our measure is 75 over 360
Let's clean this up a little bit.
75 divided by 360 = 5/24 times 24pi over 1
How handy, the 24 cancel and I'm left with 5 pi
Remember that is only one swing, so I need to multiply be 2 and I will get 10 pi.
I don't have 10 pi so I will need to multiply 10 by 3.14
You should recognize what 10 x 3.14 is, and the answer is D
There you go.

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