Question

A curving freeway exit has a radius of 50.0 $\mathrm{m}$ and a posted speed limit of 35 $\mathrm{mi} / \mathrm{h} .$ What is your radial acceleration (in $\mathrm{m} /\mathrm{s}^{2} )$ if you take this exit at the posted speed? What if you take the exit at a speed of 50 $\mathrm{mi} / \mathrm{h} ?$

Name: a curving freeway exit has a radius of 500 mathrmm and a posted speed limit of 35 mathrmmi mathrmh what is your radial acceleration in mathrmm mathrms2 if you take this exit at the posted speed what 2
Uploaded: 2019-05-23T21:22:11-08:00
Duration: 1 min 50 s
Channel: Averell Hause
Description: a curving freeway exit has a radius of 500 mathrmm and a posted speed limit of 35 mathrmmi mathrmh what is your radial acceleration in mathrmm mathrms2 if you take this exit at the posted speed what 2

          A curving freeway exit has a radius of 50.0 $\mathrm{m}$ and a posted speed limit of 35 $\mathrm{mi} / \mathrm{h} .$ What is your radial acceleration (in $\mathrm{m} /\mathrm{s}^{2} )$ if you take this exit at the posted speed? What if you take the exit at a speed of 50 $\mathrm{mi} / \mathrm{h} ?$

Added by Veronica C.

College Physics

Hugh D. Young 9th Edition

Chapter 3

Instant Answer

Solved by Expert Averell Hause

05/23/2019

Step 1

Given: Radius, r = 50.0 m Speed, v = 35 mph = 15.64 m/s Using the formula for radial acceleration: $a_r = \frac{v^2}{r}$ Substitute the values: $a_r = \frac{(15.64)^2}{50} = \frac{244.8}{50} = 4.896 \, m/s^2$ Show more…

Show all steps

Thanks for your feedback!

A curving freeway exit has a radius of 50.0 $\mathrm{m}$ and a posted speed limit of 35 $\mathrm{mi} / \mathrm{h} .$ What is your radial acceleration (in $\mathrm{m} /\mathrm{s}^{2} )$ if you take this exit at the posted speed? What if you take the exit at a speed of 50 $\mathrm{mi} / \mathrm{h} ?$