A motor shaft rotates at a constant angular v | vedclass

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

Question

(B) The angular velocity $\omega$ is given as $3000$ revolutions per minute (rpm).First,convert this to revolutions per second: $\omega = \frac{3000}{

Vedclass · Accepted Answer

$100\pi$

Vedclass · Answer

(B) The angular velocity $\omega$ is given as $3000$ revolutions per minute (rpm).First,convert this to revolutions per second: $\omega = \frac{3000}{60} = 50$ revolutions per second.Since $1$ revolution corresponds to $2\pi$ radians,the angular velocity in radians per second is $\omega = 50 	imes 2\pi = 100\pi 	ext{ rad/s}$.The angle $	heta$ rotated in time $t = 1$ second is given by $	heta = \omega t$.Substituting the values,$	heta = 100\pi 	imes 1 = 100\pi 	ext{ radians}$.

$A$ motor shaft rotates at a constant angular velocity of $3000$ revolutions per minute. Through what angle (in radians) will it rotate in $1$ second?

Similar Questions

Which of the following quantities remains constant during uniform circular motion?

For a particle moving in a circular path with constant speed,which component of its linear acceleration is constant and which component is not constant?

Two cars $A$ and $B$ are moving along concentric circular paths of radii $R_A$ and $R_B$. If both cars complete their respective circular paths in the same time,what is the ratio of the angular speed of $A$ to that of $B$?

$A$ body of mass $m$ moves in a circular path with uniform angular velocity. The motion of the body has constant

If a body is moving in a circle of radius $r$ with a constant speed $v$,its angular velocity is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module