What is the centripetal acceleration of a point on the perimeter of a bicycle wheel of diameter 70. cm when the bike is moving 8.0 m/s? A) 91 m/s² B) 1.8 × 10² m/s² C) 2.1 × 10^-2 m/s² D) 66 m/s² E) 2.7 × 10² m/s²

Question

Quizplus · Accepted Answer

Centripetal acceleration $a_c$ is given by the formula $a_c = \frac{v^2}{r}$, where $v$ is the velocity and $r$ is the radius of the circle. The diameter of the wheel is 70 cm, so the radius $r$ is 35 cm or 0.35 m. Substituting the given values, $a_c = \frac{(8.0 \, \text{m/s})^2}{0.35 \, \text{m}} \approx 183 \, \text{m/s}^2$, which is closest to the option $1.8 \times 10^2 \, \text{m/s}^2$.

What Is the Centripetal Acceleration of a Point on the Perimeter