A flywheel starts from rest and rotates with | vedclass

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

Question

(D) Let the initial angular velocity at the start of the observation be $\omega_0$. Given angular acceleration $\alpha = 3.0 \ rad/s^2$,time interval

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(D) Let the initial angular velocity at the start of the observation be $\omega_0$. Given angular acceleration $\alpha = 3.0 \ rad/s^2$,time interval $t = 4.0 \ s$,and angular displacement $	heta = 120 \ rad$.Using the kinematic equation $	heta = \omega_0 t + \frac{1}{2} \alpha t^2$:$120 = \omega_0(4) + \frac{1}{2}(3)(4)^2$$120 = 4\omega_0 + 24$$4\omega_0 = 96 \implies \omega_0 = 24 \ rad/s$.The wheel started from rest $(\omega_{initial} = 0)$ with constant acceleration $\alpha = 3.0 \ rad/s^2$. Let $T$ be the time elapsed before the observation started.Using $\omega_0 = \omega_{initial} + \alpha T$:$24 = 0 + 3T$$T = \frac{24}{3} = 8 \ s$.

$A$ flywheel starts from rest and rotates with a constant angular acceleration of $3.0 \ rad/s^2$. An observer notes that it covers an angle of $120 \ rad$ in a time interval of $4.0 \ s$. How long had the wheel been rotating before the observer started the observation?

Similar Questions

$A$ wheel has an angular acceleration of $3.0\, rad/s^2$ and an initial angular speed of $2.00\, rad/s$. In a time of $2\, s$,it has rotated through an angle (in radians) of:

$A$ 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):

$A$ particle of mass $m$ is moving in a circular path of constant radius $r$ such that its centripetal acceleration $a_c$ is varying with time $t$ as $a_c = k^2 r t^2$. The power delivered to the particle by the forces acting on it is:

The angular speed of a flywheel is increased from $600 \text{ rpm}$ to $1200 \text{ rpm}$ in $10 \text{ s}$. The number of revolutions completed by the flywheel during this time is :

The relative angular speed of the hour hand and minute hand of a clock is (in $rad/s$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module