For circular motion, if {vec aₜ},,{vec ac},,vec r and vec v are tangential acceleratio

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3-2.Motion in Plane

medium

For circular motion, if ${\vec a_t},\,{\vec a_c},\,\vec r$ and $\vec v$ are tangential acceleration, centripetal acceleration, radius vector and velocity respectively, then find the wrong relation

A${\vec a_t}.{\vec a_c} = 0$

B${\vec a_t}.\vec v$ may be positive or negative

C${\vec a_c}.\vec v$ may be positive or negative

D${\vec a_c}.\vec v = 0$

Solution

$\overrightarrow{\mathrm{a}}_{\mathrm{t}} \cdot \overrightarrow{\mathrm{a}}_{\mathrm{c}}=0 \quad$ as $\theta=90^{\circ}$
$\overrightarrow{\mathrm{a}}_{\mathrm{c}} \cdot \overrightarrow{\mathrm{v}}=0 \quad$ as $\theta=90^{\circ}$
$\overrightarrow{\mathrm{a}}_{\mathrm{t}} \cdot \overrightarrow{\mathrm{v}}$ may be $+\mathrm{ve}$ or $-\mathrm{ve}$

Standard 11

Physics

A car is moving with speed $30$ $m/\sec $ on a circular path of radius $500\, m$. Its speed is increasing at the rate of $2m/{\sec ^2},$ What is the acceleration of the car …….. $m/sec^2$

medium

A particle is going with constant speed along a uniform helical and spiral path separately as shown in figure

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The graphs below show angular velocity as a function of time. In which one is the magnitude of the angular acceleration constantly decreasing?

normal

Consider the two statements related to circular motion in usual notations
$A$. In uniform circular motion $\vec{\omega}, \vec{v}$ and $\vec{a}$ are always mutually perpendicular
$B$. In non-uniform circular motion, $\vec{\omega}, \vec{v}$ and $\vec{a}$ are always mutually perpendicular

medium

particle is moving in a circular path. The acceleration and momentum of the particle at a certain moment are $\vec a\, = \,(4\hat i + 3\hat j)\,\,m/{s^2}$ and $\vec P\, = \,(8\hat i\, – \,6\hat j)\,kg\, – \,m/s$ . The motion of the particle is

medium

For circular motion, if ${\vec a_t},\,{\vec a_c},\,\vec r$ and $\vec v$ are tangential acceleration, centripetal acceleration, radius vector and velocity respectively, then find the wrong relation

Solution

Similar Questions

A car is moving with speed $30$ $m/\sec $ on a circular path of radius $500\, m$. Its speed is increasing at the rate of $2m/{\sec ^2},$ What is the acceleration of the car …….. $m/sec^2$

A particle is going with constant speed along a uniform helical and spiral path separately as shown in figure

The graphs below show angular velocity as a function of time. In which one is the magnitude of the angular acceleration constantly decreasing?

Consider the two statements related to circular motion in usual notations $A$. In uniform circular motion $\vec{\omega}, \vec{v}$ and $\vec{a}$ are always mutually perpendicular $B$. In non-uniform circular motion, $\vec{\omega}, \vec{v}$ and $\vec{a}$ are always mutually perpendicular

particle is moving in a circular path. The acceleration and momentum of the particle at a certain moment are $\vec a\, = \,(4\hat i + 3\hat j)\,\,m/{s^2}$ and $\vec P\, = \,(8\hat i\, – \,6\hat j)\,kg\, – \,m/s$ . The motion of the particle is

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Consider the two statements related to circular motion in usual notations
$A$. In uniform circular motion $\vec{\omega}, \vec{v}$ and $\vec{a}$ are always mutually perpendicular
$B$. In non-uniform circular motion, $\vec{\omega}, \vec{v}$ and $\vec{a}$ are always mutually perpendicular