Centripetal Acceleration

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Presentation transcript:

Centripetal Acceleration

QUICK WRITE What is the resultant force of the two concurrent forces 57 N and 65 N acting 450 on an object? Find the horizontal and vertical component of a 60 N force at an angle 350 to the horizontal. How far will an object be if it was shot at a speed of 30 m/s at angle of 380 ?

Centripetal Acceleration REVIEW ? MOTION One Dimension Two Dimension Horizontal Motion Vector Projectile Vertical Motion Centripetal Acceleration

Centripetal Acceleration Property of the motion of an object traveling in a circular path. Centripetal describes the force on the object, directed toward the centre of the circle, which causes a constant change in the object's direction and thus its acceleration. The magnitude of centripetal acceleration a is equal to the square of the object's velocity v along the curved path divided by the object's distance r from the centre of the circle, or a = v2/r.

Let’s put Math on it… Racing on a flat track, a car going 32 m/s rounds a curve 56 m in radius, what is the car’s centripetal acceleration.

A runner is moving at a speed of 8 A runner is moving at a speed of 8.8 m/s rounds a bend with a radius of 25 m, what is the centripetal acceleration of the runner.

According to the Guinness Book of World Records, the highest rotary speed ever attained was 2010 m/s. the rotating rod was 15.3 cm long. Assume that the quoted speed is that of the end of the rod, what is the centripetal acceleration of the rod.