When a ceiling fan is switched on,it makes 10 | vedclass

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

Question

(C) For an object starting from rest with uniform angular acceleration $\alpha$,the angular displacement $	heta$ in time $t$ is given by $	heta = \f

Vedclass · Accepted Answer

$30$

Vedclass · Answer

(C) For an object starting from rest with uniform angular acceleration $\alpha$,the angular displacement $	heta$ in time $t$ is given by $	heta = \frac{1}{2}\alpha t^2$.Since the number of rotations $n$ is proportional to the angular displacement,$n \propto t^2$.Let $n_1$ be the rotations in the first interval $t_1 = 3\,s$,and $n_2$ be the rotations in the next interval $t_2 = 3\,s$.The total rotations in time $2t$ is $n_{total} = n_1 + n_2$.Using the property of uniform acceleration starting from rest,the ratio of rotations in successive equal time intervals is $1 : 3 : 5 : \dots$.Therefore,$n_1 : n_2 = 1 : 3$.Given $n_1 = 10$,we have $10 : n_2 = 1 : 3$.Thus,$n_2 = 10 	imes 3 = 30$ rotations.

When a ceiling fan is switched on,it makes $10$ rotations in the first $3\,s$. How many rotations will it make in the next $3\,s$? (Assume uniform angular acceleration)

Similar Questions

$A$ particle moves along a circle of radius $\left( \frac{20}{\pi} \right) \, m$ with constant tangential acceleration. If the velocity of the particle is $80 \, m/s$ at the end of the second revolution after motion has begun,the tangential acceleration is

$A$ car wheel rotates at $1200$ revolutions per minute. On pressing the accelerator,it rotates at $4500$ revolutions per minute in $10 \ s$. The angular acceleration of the wheel is ...

The angular velocity of a particle is given by $\omega = 1.5t - 3t^2 + 2$. How much time in $sec$ does it take for the angular acceleration to become zero?

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module