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Q.

A car is moving on circular path of radius 100 m such that its speed is increasing at the rate of 5 m/s2. At t:0 it starts from rest. What is the radial acceleration of car at the instant it makes one complete round trip?

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a

20π ms−2

b

7π ms−2

c

5 ms−2

d

none of these

answer is A.

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Detailed Solution

Angular acceleration α=atR=5100=120 rad/s2 But α=dωdt=ωdωdθ⇒∫02π dθ=20∫0ω ωdω[θ]02π=20ω220ω⇒ω=π5 rad/s⇒ar=ω2R=20π m/s2
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