(B) The tangential acceleration $a_t$ is defined as the rate of change of the magnitude of velocity,given by $a_t = \frac{dv}{dt} = r \alpha$,where $r

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No,it is zero only when the angular speed is constant.

(B) The tangential acceleration $a_t$ is defined as the rate of change of the magnitude of velocity,given by $a_t = \frac{dv}{dt} = r \alpha$,where $r$ is the radius and $\alpha$ is the angular acceleration.If the angular speed $\omega$ is constant,then the angular acceleration $\alpha = \frac{d\omega}{dt} = 0$.Therefore,the tangential acceleration $a_t$ is zero only when the particle undergoes uniform circular motion,meaning the angular speed remains constant.

Class 11 Physics 3-2.Motion in Plane Kinematics Circular Motion (Uniform Angular Accelaration)

Medium

Is the tangential acceleration of a particle moving in a circular path always zero? Under what condition is it zero?

A
Yes,it is always zero.
B
No,it is zero only when the angular speed is constant.
C
No,it is zero only when the radius is constant.
D
No,it is zero only when the centripetal acceleration is zero.

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3-2.Motion in Plane

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Kinematics Circular Motion (Uniform Angular Accelaration)

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$A$ particle of mass $m$ moves along a circle of radius $r$ with constant tangential acceleration. If the kinetic energy $(K.E.)$ of the particle is $E$ by the end of the third revolution after the beginning of the motion,then the magnitude of the tangential acceleration is:

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Is the tangential acceleration of a particle moving in a circular path always zero? Under what condition is it zero?

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