The acceleration of a body in a non-uniform c | vedclass

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Question

(A) In non-uniform circular motion,the total acceleration $a$ is the vector sum of the radial acceleration $a_r$ and the tangential acceleration $a_t$

Vedclass · Accepted Answer

The radial acceleration and the tangential acceleration are $3\, ms^{-2}$ and $4\, ms^{-2}$ respectively.

Vedclass · Answer

(A) In non-uniform circular motion,the total acceleration $a$ is the vector sum of the radial acceleration $a_r$ and the tangential acceleration $a_t$. Since these two components are perpendicular to each other,the magnitude of the resultant acceleration is given by $a = \sqrt{a_r^2 + a_t^2}$.Given $a = 5\, ms^{-2}$.Checking option $A$: $a_r = 3\, ms^{-2}$ and $a_t = 4\, ms^{-2}$.$a = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5\, ms^{-2}$.This matches the given total acceleration. Thus,option $A$ is correct.

The acceleration of a body in a non-uniform circular motion is $5\, ms^{-2}$. Which one of the following is correct?

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