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MIT 8.01 Physics I Classical Mechanics, Fall 1999 17 Online
OpenStudy (anonymous):

what is tangential acceleration

OpenStudy (anonymous):

Imagine a curve with its gradient constantly changing. The gradient at the exact point you want is called a tangent( and the line perpendicular to it is called a normal). Tangential acceleration acceleration would be the acceleration along the tangent at that point of a particle that is in constantly changing motion.

OpenStudy (anonymous):

if a body has constant then its tangential acceleration speed is 0.when it has tangential acceleration its rotational speed varies

OpenStudy (anonymous):

A tangent at a point on a circle is a ray drawn perpendicular to the radius of the circle at that point.Similarly,when a body is in motion, the tangential direction would be the direction would be perpendicular to the radial direction at that instant, in simpler words,along the direction of motion at THAT INSTANT.Tangential acceleration is the acceleration that u experience in the direction tangential to the motion at THAT INSTANT.

OpenStudy (anonymous):

lets say a particle moving with its velocity changing with time.we plot a graph of velocity in y-axis and time in x-axis.assume the graph obtain is cubic graph, \[v=t ^{3}\]where v is the velocity and t is time. acceleration, a=dv/dt then,acceleration at time,t=2s is called tangential acceleration. tangential acceleration,\[ a _{t}=d(t ^{3})/dt=3t ^{2}\]at time t=2s, tangential acceleration,\[ a _{t}=3×(2)^{2}=12m/s ^{2}\] hope this can give a clear picture of tangential acceleration. thanks.

OpenStudy (anonymous):

Tangential acc. is the component of the total acceleration vector that is responsible for the change in the magnitude of the velocity vector. Since the magnitude of the velocity vector doesn't change in uniform circular motion, the tangential component is zero and acc.total=acc.centripital (acc.centripital causes a change in the direction of the velocity vector).

OpenStudy (anonymous):

The component of the acceleration vector along a tangent to the circle.

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