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Q.

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:

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a

3 m/s2

b

4 m/s2

c

5 m/s2

d

7 m/s2

answer is C.

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Detailed Solution

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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