A car starts from rest on a curve with a radius of 120 m and tangential accelera

Question

A car starts from rest on a curve with a radius of 120 m and tangential acceleration of 1.0 m/s^2 .

Through what angle will the car have traveled when the magnitude of its total acceleration is 2.8 m/s^2 ?

Express your answer to two significant figures and include the appropriate units (Enter your answer using dimensions of plane angle.)

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Through what angle will the car have traveled when the magnitude of its total acceleration is 2.8 m/s2 ? Express your answer to two significant figures and include the appropriate units 2 = Value Value Units Submit My Answers Give Up

Explanation / Answer

tangential acc at= 1 m/s^2

a^2 = ( at^2 +ar^2 )

ar = sqrt( a^2 - at^2 )

ar = sqrt(2.80^2 - 1^2 ) = sqrt ( 7.84-1) = sqrt( 6.84) = 2.62 m/s^2

tan = ar/at = 2.62/1 = 2.62

=69.11 degree

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