The angular velocity of a body moving in a circular path is shown in graph below. What is the average angular velocity (in rad / s ) for the entire motion? Approximate the answer to nearest integer.

Question

The angular velocity of a body moving in a circular path is shown in graph below. What is the average angular velocity (in rad / s ) for the entire motion? Approximate the answer to nearest integer. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

<ω>(∫ ω dt /∫ dt )=( text Area under graph / text time ) =((1/2) × 12[25+50]/50)=9 r / s

Q. The angular velocity of a body moving in a circular path is shown in graph below. What is the average angular velocity (in $r a d / s$ ) for the entire motion? Approximate the answer to nearest integer.

$< ω > \frac{\int ω d t}{\int d t} = \frac{Area under graph}{time}$
$= \frac{\frac{1}{2} \times 12 [ 25 + 50 ]}{50} = 9 r / s$

Q. The angular velocity of a body moving in a circular path is shown in graph below. What is the average angular velocity (in rad/s ) for the entire motion? Approximate the answer to nearest integer.

<ω>∫dt∫ωdt​= time Area under graph ​ =5021​×12[25+50]​=9r/s

Q. The angular velocity of a body moving in a circular path is shown in graph below. What is the average angular velocity (in $r a d / s$ ) for the entire motion? Approximate the answer to nearest integer.

$< ω > \frac{\int ω d t}{\int d t} = \frac{Area under graph}{time}$
$= \frac{\frac{1}{2} \times 12 [ 25 + 50 ]}{50} = 9 r / s$