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a racecar is traveling at a speed of 80.0 m/s on a circular racetrack of radius 450 m. what is its centripetal acceleration in m/s2?

Sagot :

The centripetal acceleration of the race car is 14.22m/s².

centripetal acceleration, the acceleration of a body traversing a circular path. Since velocity is a vector quantity (that is, it has magnitude, speed, and direction), when a body moves along a circular path, its direction is constantly changing, and thus its speed also changes and acceleration occurs. The acceleration is directed radially towards the center of the circle. The centripetal acceleration ac has a magnitude equal to the square of the velocity v of the body along the curve divided by the distance r from the center of the circle to the moving body; that is, ac = v²/r. Centripetal acceleration has units of meter per second squared.

v=80m/s

r=450m

a=80²/450=14.22m/s²

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