Numerical - Resultant acceleration of car along circular arc

Q.  A car moves along a circular arc at a speed of 30 m/s, if speed of the car is increased at the rate of 50 m/s2, what is the resultant acceleration of the car? (Radius of arc = 15 m)
- Published on 18 Sep 15

a. 78.10 m/s2
b. 58.10 m/s2
c. 60.23 m/s2
d. 33.16 m/s2

ANSWER: 78.10 m/s2

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    Discussion

  • Sravanthi   -Posted on 15 Dec 15
    Given: Speed of car = 30 m/s, increased speed = 50 m/s2, radius of arc = 15 m

    Solution:

    Resultant acceleration = √(Tangential acceleration)2 + (Normal acceleration)2

    Tangential acceleration = 50 m/s2

    Normal acceleration = v2 /r = (30)2/ 15 = 60 m/s2

    Substituting the value of tangential acceleration and normal acceleration,

    Resultant acceleration = √(50)2 + (60)2

    = 78.10 m/s2

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