A car moves in a circular path of radius 50 m at a constant speed of 20 m/s. Wha
Practice Questions
Q1
A car moves in a circular path of radius 50 m at a constant speed of 20 m/s. What is the centripetal acceleration?
4 m/s²
8 m/s²
10 m/s²
16 m/s²
Questions & Step-by-Step Solutions
A car moves in a circular path of radius 50 m at a constant speed of 20 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 20 m/s and the radius (r) is 50 m.
Step 3: Square the speed (v). Calculate 20², which equals 400.
Step 4: Divide the squared speed by the radius. Calculate 400 / 50, which equals 8.
Step 5: State the result. The centripetal acceleration is 8 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.
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.
Formula Application – Understanding and applying the formula for centripetal acceleration, a_c = v²/r, where v is the linear speed and r is the radius of the circular path.
