A particle moves in a circular path of radius 10 m with a constant speed of 5 m/
Practice Questions
Q1
A particle moves in a circular path of radius 10 m with a constant speed of 5 m/s. What is the centripetal acceleration?
1 m/s²
2 m/s²
5 m/s²
10 m/s²
Questions & Step-by-Step Solutions
A particle moves in a circular path of radius 10 m with a constant speed of 5 m/s. What is the centripetal acceleration?
Step 1: Identify the formula for centripetal acceleration, which is a_c = v²/r.
Step 2: Determine the values needed for the formula. Here, the speed (v) is 5 m/s and the radius (r) is 10 m.
Step 3: Square the speed (v). Calculate 5², which equals 25.
Step 4: Divide the squared speed by the radius. Calculate 25 / 10, which equals 2.5.
Step 5: State the result. The centripetal acceleration is 2.5 m/s².
Centripetal Acceleration – Centripetal acceleration is the acceleration directed towards the center of a circular path, necessary for an object to maintain circular motion.
Circular Motion – Understanding the principles of circular motion, including the relationship between speed, radius, and acceleration.
