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A motor car is travelling at 60 m/s on a circular road of radius 1200 m. It is increasing its speed at the rate of 4 m/s2. The acceleration of the car is:

a
3 m/s2
b
4 m/s2
c
5 m/s2
d
7 m/s2

detailed solution

Correct option is C

Tangential acceleration, at = rα = 4 m/s2Radial acceleration    at = ω2r = v2r = 60×601200 = 3 m/s2Hence, resultant acceleration of the cara = at2+ar2 = 42+32   = 5 m/s2

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