A particle rotates along a circle of radius R =√2 m with an angular acceleration α=(π/4) rad / s 2 starting from rest. Calculate the magnitude of average velocity of the particle over the time it rotates a quarter circle.

Question

A particle rotates along a circle of radius R =√2 m with an angular acceleration α=(π/4) rad / s 2 starting from rest. Calculate the magnitude of average velocity of the particle over the time it rotates a quarter circle. (A) 0.5 (B) 1 (C) 2 (D) 1.5

Tardigrade Admin · Accepted Answer

va v=(√2 R/t) t=√(2(π / 2)/π / 4)=2 s v ev =1 m / s

Q. A particle rotates along a circle of radius $R = 2 m$ with an angular acceleration $α = \frac{π}{4} r a d / s^{2}$ starting from rest. Calculate the magnitude of average velocity of the particle over the time it rotates a quarter circle.

$0.5$

$1$

$2$

$1.5$

$v_{a v} = \frac{2 R}{t}$
$t = \frac{2 ( π /2 )}{π /4} = 2 s$
$v_{e v} = 1 m / s$

Q. A particle rotates along a circle of radius R=2​m with an angular acceleration α=4π​rad/s2 starting from rest. Calculate the magnitude of average velocity of the particle over the time it rotates a quarter circle.

0.5

1

2

1.5

vav​=t2​R​ t=π/42(π/2)​​=2s vev​=1m/s

Q. A particle rotates along a circle of radius $R = 2 m$ with an angular acceleration $α = \frac{π}{4} r a d / s^{2}$ starting from rest. Calculate the magnitude of average velocity of the particle over the time it rotates a quarter circle.

$0.5$

$1$

$2$

$1.5$

$v_{a v} = \frac{2 R}{t}$
$t = \frac{2 ( π /2 )}{π /4} = 2 s$
$v_{e v} = 1 m / s$