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Physics - Circular Motion Question with Solution | TestHub

PhysicsCircular MotionKinematicsMedium2 minQB

PhysicsMediumsingle choice

A particle moves in a circle of radius 0.5 cm with a speed given by $v = 2 t$ , where $v$ is in cm/s and $t$ in seconds. (a) Find the radial acceleration of the particle at $t = 1 s$ . (b) Find the tangential acceleration at $t = 1 s$ . (c) Find the magnitude of net acceleration at $t = 1 s$ .

Options:

Answer:

Solution:

(a) $a_{r} = \frac{v ^{2}}{R}$
$= \frac{( 2 t ) ^{2}}{0.5}$
$= 8 t^{2}$
$= 8.0 cm / s^{2}$ at $t = 1 s$ .
(b) $a_{t} = \frac{d v}{d t}$
$= 2.0 cm / s^{2}$ .
(c) $a = a_{r}^{2} + a_{t}^{2}$
$= 64 + 4$
$= 68$
$= 217 cm / s^{2}$ .

Stream:JEESubject:PhysicsTopic:Circular MotionSubtopic:Kinematics

⏱ 2mℹ️ Source: QB

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