A wheel is subjected to uniform angular accel | vedclass

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

Question

(C) Given that the wheel starts from rest,so initial angular velocity ${\omega _0} = 0$. Let the uniform angular acceleration be $\alpha$.Using the ki

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(C) Given that the wheel starts from rest,so initial angular velocity ${\omega _0} = 0$. Let the uniform angular acceleration be $\alpha$.Using the kinematic equation for angular displacement: $	heta = {\omega _0}t + \frac{1}{2}\alpha {t^2}$.For the first $2 \ s$ $(t = 2 \ s)$: ${	heta _1} = 0 + \frac{1}{2}\alpha {(2)^2} = 2\alpha$ ... $(i)$.For the total time of $4 \ s$ $(t = 2 + 2 = 4 \ s)$: ${	heta _1} + {	heta _2} = 0 + \frac{1}{2}\alpha {(4)^2} = 8\alpha$ ... $(ii)$.Subtracting equation $(i)$ from equation $(ii)$: ${	heta _2} = 8\alpha - 2\alpha = 6\alpha$.Now,the ratio is $\frac{{	heta _2}}{{	heta _1}} = \frac{6\alpha}{2\alpha} = 3$.

$A$ wheel is subjected to uniform angular acceleration about its axis. Initially,its angular velocity is zero. In the first $2 \ s$,it rotates through an angle ${\theta _1}$. In the next $2 \ s$,it rotates through an additional angle ${\theta _2}$. The ratio of ${\theta _2}/{\theta _1}$ is:

Similar Questions

$A$ ceiling fan starts from rest and makes $10$ revolutions in the first $3$ seconds. If the angular acceleration remains constant,how many revolutions will it make in the next $3$ seconds?

$A$ wheel initially at rest is subjected to a uniform angular acceleration about its axis. In the first $2 \text{ s}$ it rotates through an angle $\theta_1$ and in the next $2 \text{ s}$ it rotates through an angle $\theta_2$. The ratio $\frac{\theta_2}{\theta_1}$ is . . . . . . .

How many revolutions must a wheel complete to attain an angular velocity of $20 \, rad/s$ in $5 \, s$ starting from rest?

$A$ particle moves from point $P_1$ to $P_2$ along a circular path with constant speed $v$. If the angle subtended by the arc $P_1P_2$ at the center is $90^{\circ}$,what is the change in velocity?

If the frequency of an object in uniform circular motion is doubled,its acceleration becomes

Vedclass Test Series

Exam Paper Generator

Online Exam Module