A child on a merry-go-round has an instantaneous total acceleration with magnitude 35.0. Their instantaneous speed is 5.0 m/s and they are 1.0 meter away from the center of the merry-go-round. What is the magnitude of the tangential component of their acceleration? 30.2 24.5 15.6 ㎡ 11.9 m

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A child on a merry-go-round has an instantaneous total acceleration with magnitude 35.0 m/s². Their instantaneous speed is 5.0 m/s and they are 1.0 meter away from the center of the merry-go-round. What is the magnitude of the tangential component of their acceleration?

- ○ 30.2 m/s²
- ○ 24.5 m/s²
- ○ 15.6 m/s²
- ○ 11.9 m/s²
Transcribed Image Text:A child on a merry-go-round has an instantaneous total acceleration with magnitude 35.0 m/s². Their instantaneous speed is 5.0 m/s and they are 1.0 meter away from the center of the merry-go-round. What is the magnitude of the tangential component of their acceleration? - ○ 30.2 m/s² - ○ 24.5 m/s² - ○ 15.6 m/s² - ○ 11.9 m/s²
Expert Solution
Introduction:

We are given total acceleration. We are given instantaneous speed and radius. We first find centripetal acceleration. We then find the tangential acceleration from this.

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