An automobile whose speed is increasing at a rate of 0.600 m/s 2 travels along a

Question

An automobile whose speed is increasing at a rate of 0.600 m/s2 travels along a circular road ofradius 20.0 m.(a) When the instantaneousspeed of the automobile is 5.00 m/s, findthe tangential acceleration component.

Magnitude m/s2 ?
Direction ? 2 in the direction of theautomobile's motion or in a direction opposite to theautomobile's motion?


(b) What is the centripetal acceleration component?
Magnitude m/s2?
Direction ? 4
toward the center ofcurvature or awayfrom the center of curvature ?

(c) Determine the magnitude and direction of the totalacceleration.
Magnitude m/s2 ?
Direction°?
7 inward from the automobile'spath or outwardfrom the automobile's path?
2 in the direction of theautomobile's motion or in a direction opposite to theautomobile's motion?
2 in the direction of theautomobile's motion or in a direction opposite to theautomobile's motion?
2 4
toward the center ofcurvature or awayfrom the center of curvature ? 4
toward the center ofcurvature or awayfrom the center of curvature ? 4 7

Explanation / Answer

a)   The tangential acceleration is                at = 0.600m/s2b) the centripetal acceleration componentis            ar =v2/r                = (5.00 m/s)2/(20.0m) c) The magnitude of the total acceleration is            a =[at2 + ar2] Direction is        =tan-1[ar/at] Substitute the values

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