Final answer:
The stated formula for finding linear velocity is incorrect. The correct relationship for linear velocity in circular motion is v = √(ac × r), where ac is centripetal acceleration and r is the radius of the circular path.
Step-by-step explanation:
The formula mentioned in the question, linear velocity = √(centripetal acceleration/radius), is not the correct expression for calculating linear velocity. Instead, the correct relationship between centripetal acceleration (ac) and linear velocity (v) in circular motion is given by the equation ac = v²/r, where ac is the centripetal acceleration, v is the linear velocity, and r is the radius of the circular path. When solving for v, it leads to the formula v = √(ac × r).
The centripetal acceleration is always directed towards the centre of the circle and is a result of a change in the direction of the velocity, not its magnitude. Whereas the linear velocity(also referred to as tangential speed) involves a change in position over time along the circular path. The linear velocity is related to the angular velocity (w) by the equation v = rw, where w is the angular velocity in rad/s.
Therefore, the answer to whether the formula is regular for calculating linear velocity is B. No, it's not a valid formula for linear velocity.