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Question

Find the angle between the net acceleration vector and tangential acceleration vector for a particle moving in a circle of radius 4 m with its speed increasing at 3 m/s every second, when the speed of the particle is 4 m/s.

A
37
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B
53
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C
60
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D
45
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Solution

The correct option is B 53
When speed of the particle is 4 m/s,
ac=v2R=424=4 m/s2at=3 m/s2
anet=a2c+a2t=42+32=5 m/s2

Now,
cosθ=atanet=35θ=53

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