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Can y'all figure the velocity if the acceleration is 1.8 m/s2 with a radius of 45 m?

User Keela
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Final answer:

The velocity can be calculated using the centripetal acceleration and the radius.

Step-by-step explanation:

A centripetal acceleration of 1.8 m/s² with a radius of 45 m can be used to find the velocity of an object in circular motion. To determine the velocity of an object moving in a circle with a constant acceleration, we must relate the tangential acceleration to the centripetal acceleration that keeps the object moving in a circle. The acceleration provided, 1.8 m/s2, seems to be the tangential acceleration since centripetal acceleration would depend on both velocity and radius. The formula to calculate the velocity in circular motion is:

v = √(a * r)

where v is the velocity, a is the acceleration, and r is the radius.

By substituting the given values, we can find the velocity:

v = √(1.8 m/s² * 45 m) = 9 m/s

User Keshav Lodhi
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