Identify the increasing order of the angular | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The angular velocity $\omega$ is given by $\omega = \frac{2\pi}{T}$ or $\omega = 2\pi n$.$1$. For Earth rotating about its own axis,$T = 24 \ h =

Vedclass · Accepted Answer

$1, 2, 3, 4$

Vedclass · Answer

(A) The angular velocity $\omega$ is given by $\omega = \frac{2\pi}{T}$ or $\omega = 2\pi n$.$1$. For Earth rotating about its own axis,$T = 24 \ h = 86400 \ s$.$\omega_1 = \frac{2\pi}{86400} \ rad/s \approx 7.27 	imes 10^{-5} \ rad/s$.$2$. For the hour hand of a clock,$T = 12 \ h = 43200 \ s$.$\omega_2 = \frac{2\pi}{43200} \ rad/s \approx 1.45 	imes 10^{-4} \ rad/s$.$3$. For the second hand of a clock,$T = 60 \ s$.$\omega_3 = \frac{2\pi}{60} \ rad/s \approx 0.105 \ rad/s$.$4$. For the flywheel,$n = 300 \ rpm = 5 \ rev/s$.$\omega_4 = 2\pi 	imes 5 = 10\pi \ rad/s \approx 31.4 \ rad/s$.Comparing the values: $\omega_1 Thus,the increasing order is $1, 2, 3, 4$.

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 $300 \ rpm$

Similar Questions

If the equation for the displacement of a particle moving on a circular path is given as $\theta = 2t^3 + 0.5$,where $\theta$ is in radians and $t$ is in seconds,then the angular velocity of the particle after $2$ seconds will be ....... $rad/sec$.

If the angular velocity of a disc depends on the angle rotated $\theta$ as $\omega = \theta^2 + 2\theta$,then its angular acceleration $\alpha$ at $\theta = 1 \text{ rad}$ is ......... $\text{rad/sec}^2$.

$A$ wheel rotates with a uniform angular acceleration of $2.0 \ rad/s^2$. If the wheel starts from rest,the number of revolutions completed in the first $10 \ s$ will be approximately:

$A$ particle at rest starts moving with a constant angular acceleration of $4 \ rad/s^2$ in a circular path. The time at which the magnitudes of its centripetal acceleration and tangential acceleration will be equal is (in seconds):

$A$ wheel,initially at rest,is rotated with a uniform angular acceleration. The wheel rotates through an angle ${\theta _1}$ in the first $1 \ s$ and through an additional angle ${\theta _2}$ in the next $1 \ s$. The ratio $\frac{{\theta _2}}{{\theta _1}}$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module

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 $300 \ rpm$