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Chapter 4: Q.76 (page 109)

A car starts from rest on a curve with a radius of 120mand accelerates tangentially at 1.0m/s2 . Through what angle will the car have traveled when the magnitude of its total acceleration is 2.0m/s2 ?

Short Answer

Expert verified

胃=49.64掳

Step by step solution

01

Given Information

We are given with:

radius=r=120mtangentialacceleration=at=1m/s2totalacceleration=a=2m/s2

02

Calculation

The car have traveled when the magnitude of its total acceleration is a=2m/s2.

As we know the formula for angle:

胃=drd=distancer=radius

For distance:

localid="1648908492211" d=12att2t=vatt=timetotraveledthecarv=velocityofcard=v22atarr=v2d=arr2atar=radicalacceleration

By putting values of distance and radius in angle formula:

localid="1648098776664" 胃=arr2atr胃=ar2at胃=12a2at2-1

Now putting the values in formula, the angle is:

胃=122212-1胃=0.866rad

Converting angle from radian to degree:

localid="1649071100890" 胃=0.866rad脳180掳蟺rad胃=49.64掳

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