The direction of angular acceleration of a bo | vedclass

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

Question

(A) Angular acceleration $\vec{\alpha}$ is defined as the rate of change of angular velocity $\vec{\omega}$,i.e.,$\vec{\alpha} = \frac{d\vec{\omega}}{

Vedclass · Accepted Answer

perpendicular to the plane of the paper

Vedclass · Answer

(A) Angular acceleration $\vec{\alpha}$ is defined as the rate of change of angular velocity $\vec{\omega}$,i.e.,$\vec{\alpha} = \frac{d\vec{\omega}}{dt}$.Since the body is moving in a circle in the plane of the paper,the angular velocity vector $\vec{\omega}$ is directed perpendicular to the plane of the paper (along the axis of rotation) according to the right-hand rule.Consequently,the change in angular velocity $d\vec{\omega}$ also occurs along the axis of rotation.Therefore,the direction of angular acceleration $\vec{\alpha}$ is also perpendicular to the plane of the paper.

The direction of angular acceleration of a body moving in a circle in the plane of the paper is

Similar Questions

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 $300 \ rpm$

$A$ wheel rotating at an angular velocity of $1200 \ rpm$ is slowed down at a constant angular acceleration of $4 \ rad \ s^{-2}$. How many revolutions will the wheel make before coming to rest?

$A$ clock has $75 \ cm$ and $60 \ cm$ long second hand and minute hand respectively. In $30$ minutes duration,the tip of the second hand will travel $x$ distance more than the tip of the minute hand. The value of $x$ in meters is nearly (Take $\pi = 3.14$):

$A$ wheel has a diameter of $1 \ m$. If it makes $30$ revolutions per second,then the linear speed of a point on its circumference will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module