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In summary, to find the magnitude of tangential acceleration in uniform circular motion, you can use the formula At = [dv/dt] where v is the speed and dv/dt is the rate of change of velocity. However, for uniform circular motion, this value is always zero. On the other hand, for non-uniform circular motion, the magnitude of tangential acceleration can be calculated using the formula |angular acceleration| x r. This is because tangential acceleration is caused by changes in the tangential speed of an object, which can be expressed as |angular acceleration| x r.

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Its just the magnitude of the vector. It should just be V^2/r.

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student 1 said:

The formula in the previous post is incorrect (that's the magnitude of the *radial* component of the acceleration). What formula are you using for tangential acc?

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Do you meanstudent 1 said:

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Im suppose to use At=[dv/dt].

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OK, wherestudent 1 said:Im suppose to use At=[dv/dt].

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Tangental acceleration can still exist on a object traveling in a circular path. The centripetal force just needs to change with respect to speed^{2}, so it always equals m |v|^{2} / r.

The magnitude of tangental acceleration would be the magnitude of angular acceleration times r = |angular acceleration| x r.

The magnitude of tangental acceleration would be the magnitude of angular acceleration times r = |angular acceleration| x r.

Last edited:

Tangential acceleration is the rate of change of an object's tangential velocity in uniform motion. It is the acceleration that is parallel to the direction of motion and is caused by a change in speed.

Tangential acceleration (a_{t}) can be calculated using the formula a_{t} = v_{t} / t, where v_{t} is the tangential velocity and t is the time interval.

Yes, tangential acceleration can be negative. A negative tangential acceleration indicates that the object is slowing down or changing direction, while a positive tangential acceleration means that the object is speeding up or maintaining a constant speed in a straight line.

Tangential acceleration and centripetal acceleration are closely related in uniform circular motion. Tangential acceleration is the component of acceleration that is tangent to the circular path, while centripetal acceleration is the component of acceleration that is directed towards the center of the circle. Both are needed to keep an object in circular motion.

Some examples of tangential acceleration in uniform motion include a car accelerating on a straight road, a roller coaster moving along a circular track, and a satellite orbiting around the Earth.

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