Final answer:
The velocity of an object experiencing a centripetal acceleration of 12m/s² in a circle with radius 5m is found using the formula √(ac × r), resulting in a velocity of approximately 7.75 m/s.
Step-by-step explanation:
The student has asked about the velocity of an object experiencing an acceleration of 12m/s² while traveling in a circle of radius 5m. This refers to centripetal acceleration, which is the acceleration towards the center of a circle that an object experiences when it travels in circular motion. The formula for centripetal acceleration (ac) is ac = v²/r, where v is the velocity and r is the radius of the circle.
To find the velocity (v), we rearrange this formula to solve for v:
v = √(ac × r). Plugging the values into this equation, we have: v = √(12 m/s² × 5 m) = √(60 m2/s²). Therefore, the velocity of the object is √60 m/s, which is approximately 7.75 m/s.