## A truck drives with a constant linear speed v_iv i ​ v, start subscript, i, end subscript down a road with two curves. The first curve has a

Question

A truck drives with a constant linear speed v_iv i ​ v, start subscript, i, end subscript down a road with two curves. The first curve has a radius RRR and the second curve has a radius 3R3R3, R. How does the magnitude of the truck’s centripetal acceleration change after the radius increases? Choose 1 answer: Choose 1 answer: (Choice A) A Increases by factor of 333 (Choice B) B Decreases by factor of 999 (Choice C) C Decreases by factor of 333 (Choice D) D No change

in progress 0
3 years 2021-08-12T12:44:12+00:00 1 Answers 13 views 0

## Answers ( )

(C) Decreases by factor of 3

Explanation:

Centripetal acceleration is given by

where v is the linear velocity and r is the radius of the curve.

Let the centripetal acceleration on the curve of radius R be .

Then

Let the centripetal acceleration on the curve of radius 3R be .

Then

Here, we see that the acceleration decreases by a factor of 3.