Circular Motion Video Lessons

Concept

# Problem: An object traveling at speed 2V in a circle of radius R has an acceleration a. If both speed and radius are doubled, the new acceleration will be?Multiple choice answers:a. 3ab. 2ac. 4ad. a

###### FREE Expert Solution

Centripetal acceleration:

$\overline{){\mathbf{a}}{\mathbf{=}}\frac{{\mathbf{v}}^{\mathbf{2}}}{\mathbf{r}}}$, where v is the speed and r is the radius of the circular path.

Initially,

$\begin{array}{rcl}{\mathbf{a}}_{\mathbf{1}}& \mathbf{=}& \frac{{\mathbf{\left(}\mathbf{2}\mathbf{v}\mathbf{\right)}}^{\mathbf{2}}}{\mathbf{R}}\end{array}$

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###### Problem Details

An object traveling at speed 2V in a circle of radius R has an acceleration a. If both speed and radius are doubled, the new acceleration will be?
a. 3a
b. 2a
c. 4a
d. a