Problem

A car travels on a circular track of radius \( R=204 \mathrm{~m} \), with constant speed \( v 0=34.0 \mathrm{~m} / \mathrm{s} \). Calculate the radial component of acceleration, ar.

Solution

Step 1 :The radial component of acceleration, ar, can be calculated using the following formula:

Step 2 :ar = (v0)^2/R

Step 3 :Substitute the given values into the formula:

Step 4 :ar = (34.0 m/s)^2/(204 m)

Step 5 :ar = 577.6/204 m/s^2

Step 6 :ar = -2.83 m/s^2

Step 7 :The negative sign indicates that the acceleration is directed towards the center of the circular track.

Step 8 :Convert the magnitude of ar to two decimal places:

Step 9 :ar = -5.92 m/s^2.

From Solvely APP
Source: https://solvelyapp.com/problems/40617/

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