(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)

$A$ body rotating with uniform angular acceleration covers $100 \pi \text{ rad}$ in the first $5 \text{ s}$ after the start. Its angular speed at the end of $5 \text{ s}$ (in $\text{rad/s}$) is .........$\pi$.

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$A$ wheel rotates with a constant angular acceleration. The initial angular velocity is zero. It covers an angular displacement of ${\theta _1}$ in the first $2 \, s$ and ${\theta _2}$ in the next $2 \, s$. Then,the ratio $\frac{{\theta _1}}{{\theta _2}}$ is equal to:

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If a wheel starting from rest is rotating with an angular acceleration of $\pi \ rad \ s^{-2}$,then the number of rotations made by the wheel in the first $6 \ s$ is:

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Identify the increasing order of the angular velocities of the following:
$1$. Earth rotating about its own axis
$2$. Hour hand of a clock
$3$. Second hand of a clock
$4$. Flywheel of radius $2 \ m$ making $300 \ rpm$

MediumAP EAMCET 2005

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The angular speed of a motor wheel is increased from $1200 \; rpm$ to $3120 \; rpm$ in $16 \; s$.
$(i)$ What is its angular acceleration,assuming the acceleration to be uniform?
$(ii)$ How many revolutions does the engine make during this time?

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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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$A$ body rotating with uniform angular acceleration covers $100 \pi \text{ rad}$ in the first $5 \text{ s}$ after the start. Its angular speed at the end of $5 \text{ s}$ (in $\text{rad/s}$) is .........$\pi$.

$A$ wheel rotates with a constant angular acceleration. The initial angular velocity is zero. It covers an angular displacement of ${\theta _1}$ in the first $2 \, s$ and ${\theta _2}$ in the next $2 \, s$. Then,the ratio $\frac{{\theta _1}}{{\theta _2}}$ is equal to:

If a wheel starting from rest is rotating with an angular acceleration of $\pi \ rad \ s^{-2}$,then the number of rotations made by the wheel in the first $6 \ s$ is:

Identify the increasing order of the angular velocities of the following:$1$. Earth rotating about its own axis$2$. Hour hand of a clock$3$. Second hand of a clock$4$. Flywheel of radius $2 \ m$ making $300 \ rpm$

The angular speed of a motor wheel is increased from $1200 \; rpm$ to $3120 \; rpm$ in $16 \; s$. $(i)$ What is its angular acceleration,assuming the acceleration to be uniform? $(ii)$ How many revolutions does the engine make during this time?

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Identify the increasing order of the angular velocities of the following:
$1$. Earth rotating about its own axis
$2$. Hour hand of a clock
$3$. Second hand of a clock
$4$. Flywheel of radius $2 \ m$ making $300 \ rpm$

The angular speed of a motor wheel is increased from $1200 \; rpm$ to $3120 \; rpm$ in $16 \; s$.
$(i)$ What is its angular acceleration,assuming the acceleration to be uniform?
$(ii)$ How many revolutions does the engine make during this time?