Answer:The centripetal acceleration is the acceleration experienced by an object moving in a circular path. It is directed towards the center of the circle and its magnitude can be calculated using the formula:
a = v^2 / r
where a is the centripetal acceleration, v is the velocity, and r is the radius of the circle.
In this case, the velocity is given as 10 m/s and the radius of the circle is 10 m. Plugging these values into the formula, we can calculate the centripetal acceleration:
a = (10 m/s)^2 / 10 m
Simplifying this equation, we have:
a = 100 m^2/s^2 / 10 m
a = 10 m/s^2
Therefore, the centripetal acceleration is 10 m/s^2.
To better understand this concept, let's consider an example. Imagine a car driving on a circular track with a radius of 10 meters. If the car maintains a constant velocity of 10 m/s, it will experience a centripetal acceleration of 10 m/s^2. This acceleration is necessary to keep the car moving in a circular path, as any change in velocity or direction requires acceleration.
In summary, the centripetal acceleration can be calculated using the formula a = v^2 / r, where v is the velocity and r is the radius of the circle. In this specific example, with a velocity of 10 m/s and a radius of 10 m, the centripetal acceleration is 10 m/s^2.
Step-by-step explanation: