Tangential acceleration given radius and angular acceleration

In summary, tangential acceleration is a measure of how quickly an object's tangential velocity changes over time and is directly proportional to the radius and angular acceleration. It can be negative, indicating a decrease in tangential velocity, and is typically measured in meters per second squared or feet per second squared. It is different from centripetal acceleration as it is in the direction of motion and depends on changes in tangential velocity, while centripetal acceleration is perpendicular to motion and depends on changes in direction.
  • #1
pxp004
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radius is 2 meters and angular acceleration is 3. How do i find the tangential acceleration?
 
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  • #2
Please read the forum rules.
You should follow the template and you must show an attempt at the solution.
 

Related to Tangential acceleration given radius and angular acceleration

What is tangential acceleration?

Tangential acceleration is a measure of how quickly an object's tangential velocity changes over time. It is the component of acceleration that is parallel to the direction of motion.

How is tangential acceleration related to radius and angular acceleration?

Tangential acceleration is directly proportional to both the radius of the object's circular path and the angular acceleration. This means that an increase in either the radius or angular acceleration will result in an increase in tangential acceleration.

Can tangential acceleration be negative?

Yes, tangential acceleration can be negative. A negative tangential acceleration indicates that the object's tangential velocity is decreasing over time, or that it is accelerating in the direction opposite of its motion.

What units are used to measure tangential acceleration?

Tangential acceleration is typically measured in meters per second squared (m/s^2) in the metric system and feet per second squared (ft/s^2) in the imperial system.

How is tangential acceleration different from centripetal acceleration?

Tangential acceleration and centripetal acceleration are both components of an object's total acceleration in circular motion. The main difference is that tangential acceleration is in the direction of motion, while centripetal acceleration is perpendicular to it. Additionally, tangential acceleration depends on changes in tangential velocity, while centripetal acceleration depends on changes in direction of motion.

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