Suppose the centripetal acceleration of a particle moving in a circle is $a = \frac { v ^ { 2 } } { r } , \text { where }$ $v$ is the velocity and $r$ is the radius of the circle. Approximate the maximum percent error in measuring the acceleration due to errors of $4 \%$ in $v$ and $2 \%$ in $r$.
A) $11 \%$
B) $16 \%$
C) $10 \%$
D) $21 \%$
E) $13 \%$

Question

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The Answer of Suppose the centripetal acceleration of a particle moving in a circle is $a = \frac { v ^ { 2 } } { r } , \text { where }$ $v$ is the velocity and $r$ is the radius of the circle. Approximate the maximum percent error in measuring the acceleration due to errors of $4 \%$ in $v$ and $2 \%$ in $r$.
A) $11 \%$
B) $16 \%$
C) $10 \%$
D) $21 \%$
E) $13 \%$

Suppose the Centripetal Acceleration of a Particle Moving in a Circle