Question

# A particle moves in a circle of radius $$1.0 \ cm$$ with a speed given by $$v=2t$$ where $$v$$ is in $$cm/s$$ and $$t$$ in seconds. Find the radial acceleration of the particle at $$t=1s$$ :

A
2.0 cms2
B
3.0 cms2
C
4.0 cms2
D
5.0 cms2

Solution

## The correct option is B $$4.0\ cms^{-2}$$Velocity depends on time as, $$v(t) = 2t$$ cm/s$$\therefore$$    $$v\bigg|_{t =1 s} = 2 \times 1 =2 cm/s$$Radial acceleration of the particle at $$t =1 s$$;  $$a_r = \dfrac{v^2}{r} = \dfrac{2^2}{1} = 4$$  $$cm/s^2$$Physics

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