A wheel starting from rest, rotates with $5 {rad/s}^{2}$ angular acceleration along its axis. After $2 s$ of motion, the magnitude of radial and tangential component of acceleration of the particle at a distance $2 cm$ from the axis are and ${cm s}^{- 2}$ .

200, 5

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50, 10

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100, 5

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200, 10

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Solution

The correct option is D $200, 10$
Given, $α = 5 {rad/s}^{2}, t = 2 s$ and
$r = 2 cm$

Now to find the radial and tangential component of the acceleration

$a_{t} = r α = 5 \times 2 = 10 {cm/s}^{2}$
$(∵ ω = ω_{0} + α t = 0 + 5 \times 2 = 10 rad/s)$
$a_{r} = r ω^{2} = 2 \times 10^{2} = 200 {cm/s}^{2}$

Hence option D is the correct answer

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A wheel starting from rest, rotates with 5 rad/s2 angular acceleration along its axis. After 2 s of motion, the magnitude of radial and tangential component of acceleration of the particle at a distance 2 cm from the axis are ________ and ________ cm s−2.

The correct option is D 200,10Given, α=5 rad/s2,t=2 s and r=2 cm Now to find the radial and tangential component of the acceleration at=rα=5×2=10 cm/s2 (∵ω=ω0+αt=0+5×2=10 rad/s) ar=rω2=2×102=200 cm/s2 Hence option D is the correct answer

A wheel starting from rest, rotates with $5 {rad/s}^{2}$ angular acceleration along its axis. After $2 s$ of motion, the magnitude of radial and tangential component of acceleration of the particle at a distance $2 cm$ from the axis are and ${cm s}^{- 2}$ .