(A) Given: Mass $m = 1\, kg$,Radius $r = 0.1\, m$,Frequency $n = 3\, rev/s$.Angular velocity $\omega = 2\pi n = 2 \times 3.14 \times 3 = 18.84\, rad/s

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$1.88\, m/s, 35.5\, m/s^2, 35.5\, N$

(A) Given: Mass $m = 1\, kg$,Radius $r = 0.1\, m$,Frequency $n = 3\, rev/s$.Angular velocity $\omega = 2\pi n = 2 \times 3.14 \times 3 = 18.84\, rad/s$.Linear velocity $v = \omega r = 18.84 \times 0.1 = 1.88\, m/s$.Centripetal acceleration $a = \omega^2 r = (18.84)^2 \times 0.1 = 354.94 \times 0.1 \approx 35.5\, m/s^2$.Tension in the string $T = m a = 1 \times 35.5 = 35.5\, N$.

Class 11 Physics 3-2.Motion in Plane Mix Examples-Motion in Plane

Medium

$A$ body of mass $1\, kg$ tied to one end of a string is revolved in a horizontal circle of radius $0.1\, m$ with a speed of $3$ revolutions per second. Assuming the effect of gravity is negligible,the linear velocity,acceleration,and tension in the string will be:

A
$1.88\, m/s, 35.5\, m/s^2, 35.5\, N$
B
$2.88\, m/s, 45.5\, m/s^2, 45.5\, N$
C
$3.88\, m/s, 55.5\, m/s^2, 55.5\, N$
D
None of these

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3-2.Motion in Plane

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$A$ body of mass $1\, kg$ tied to one end of a string is revolved in a horizontal circle of radius $0.1\, m$ with a speed of $3$ revolutions per second. Assuming the effect of gravity is negligible,the linear velocity,acceleration,and tension in the string will be:

Similar Questions

An athlete completes one round of a circular track of radius $10 \, m$ in $40 \, sec$. The distance covered by him in $2 \, min \ 20 \, sec$ is ........ $m$.

If the position vector of a particle is $\vec{r} = -\cos t \hat{i} + \sin t \hat{j} - 18t \hat{k}$,then what is the magnitude of its acceleration?

$A$ projectile is thrown at an angle $\theta$ to the horizontal from $O$ and it hits the ground at $O'$. During the entire motion (select the wrong statement):

$A$ particle moves with constant angular velocity in a circle. During the motion,its:

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