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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
30 Oct 2021

Given information

Given:

A car is accelerating from 55 km/h to 70 km/h as it rounds a curve of constant radius.

To Determine:

For each of the cases, sketch and label the total acceleration vector, the radial acceleration vector, and the tangential acceleration vector

 

 

Step-by-step explanation

Step 1.

 A car is accelerating from toon a circular track will have radial as well tangential accelerations. When a car rounds a curve of constant radius, then the radial acceleration and the tangential acceleration are perpendicular to each other.

The fact that the car is speeding up means that the tangential acceleration is in the same direction as the car's velocity. The normal (centripetal) acceleration points in the direction of the curve's center. The total acceleration is a vector sum of these two   

 

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