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Question

A disc rotates about its axis with a constant angular acceleration of 4 rads2. Find the radial and tangential accelerations of a particle at a distance of 1 cm from the axis at the end of the first second after the disc starts rotating.


A

16cms2,4cms2

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B
0.16cms2,0.04cms2
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C
16ms2,4ms2
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D
1.6cms2,0.4cms2
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Solution

The correct option is A

16cms2,4cms2


t = 1 sec, r = 1 cm = 0.01 m

a = 4 rds2

Therefore ω = at = 4 rads

Therefore radial acceleration,

An = ω2r = 0.16 ms2 = 16 cms2

Therefore tangential acceleration, ar = ar = 0.04 ms2 = 4 cms2.


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