zionlanaye zionlanaye

02-02-2021
Physics

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An object is experiencing an acceleration of 9.0 m/s? while traveling in a circle at a velocity of
6.2 m/s. What is the radius of its motion?

Respuesta :

marcthemathtutor marcthemathtutor

02-02-2021

Answer:

4.27m

Explanation:

Recall that for uniform rotational motion,

the formula for centripetal acceleration is given as

Centripetal acceleration = ( velocity)² / radius

in our case we are given :

Centripetal acceleration = 9.0 m/s²

velocity = 6.2 m/s

substituting these into the formula:

9.0 = 6.2² / radius

radius = 6.2² / 9.0 = 4.27m

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