A particle moves in a circular path of radius r with a constant speed v. What is
Practice Questions
Q1
A particle moves in a circular path of radius r with a constant speed v. What is the centripetal acceleration? (2022)
v²/r
vr
r/v
v/r
Questions & Step-by-Step Solutions
A particle moves in a circular path of radius r with a constant speed v. What is the centripetal acceleration? (2022)
Step 1: Understand that centripetal acceleration occurs when an object moves in a circular path.
Step 2: Identify the variables: 'v' is the constant speed of the particle, and 'r' is the radius of the circular path.
Step 3: Recall the formula for centripetal acceleration, which is a_c = v²/r.
Step 4: Substitute the values of 'v' (speed) and 'r' (radius) into the formula if needed.
Step 5: Calculate the centripetal acceleration using the formula.
Centripetal Acceleration – Centripetal acceleration is the acceleration directed towards the center of a circular path, necessary for an object to maintain circular motion.
Uniform Circular Motion – The motion of an object traveling at a constant speed along a circular path, where the direction of the velocity vector changes continuously.