Final answer:
The tangential acceleration of an object with an angular acceleration of 2.5 rad/s² in a circular path with a 2.0-meter radius is 5.0 m/s².
Step-by-step explanation:
The student has asked about the tangential acceleration of an object with an angular acceleration of 2.5 rad/s2 and traveling in a circular path of 2.0 meter radius.
Tangential acceleration is calculated by multiplying the angular acceleration by the radius of the circle.
Therefore, the tangential acceleration (at) can be found using the equation at = α * r, where α is the angular acceleration and r is the radius of the circular path.
Substituting the given values, we get at = 2.5 rad/s² * 2.0 m
= 5.0 m/s².
Hence, the tangential acceleration of the object is 5.0 m/s².