Question
An object moves with a speed $v$ on a circular path of radius $r$. If both the speed and the radius are doubled, does the centripetal acceleration of the object increase, decrease, or stay the same? Explain.
Step 1
Step 1: The centripetal acceleration of an object moving in a circular path is given by the formula $a_c = \frac{v^2}{r}$, where $v$ is the speed of the object and $r$ is the radius of the circular path. Show more…
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If the speed of the object increases, the magnitude of the centripetal force needed to keep the object moving in the same circle will (A) decrease (B) increase (C) remain the same
If the speed of the mass increases and the radius of its path remains constant, the centripetal force will (A) decrease (B) increase (C) remain the same
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