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A useful relationship to observe is between v^2 and r. What does the relationship v^2 /r give us?

a. Acceleration
b. Force
c. Kinetic Energy
d. Angular Velocity

User Splunk
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2 Answers

5 votes

Final answer:

The relationship v² / r gives us acceleration.

Step-by-step explanation:

The relationship v² / r gives us acceleration.

In rotational motion, the centripetal acceleration of an object moving in a circle of radius r with a tangential velocity v can be expressed as ac = v² / r. This equation shows that the centripetal acceleration is directly proportional to the square of the velocity and inversely proportional to the radius.

Therefore, the relationship v²/ r relates to the acceleration of the object.

User Erik Vullings
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8.0k points
7 votes

Final answer:

The relationship v² / r gives us acceleration.

Step-by-step explanation:

The relationship v² / r gives us acceleration.

In rotational motion, the centripetal acceleration of an object moving in a circle of radius r with a tangential velocity v can be expressed as ac = v² / r. This equation shows that the centripetal acceleration is directly proportional to the square of the velocity and inversely proportional to the radius.

Therefore, the relationship v²/ r relates to the acceleration of the object.

User MattyV
by
8.0k points