The angular speed of a fly wheel moving with uniform angular acceleration changes from 1200 rpm to 3120 rpm in 16 seconds. The angular acceleration in rad / s 2 is :

Question

The angular speed of a fly wheel moving with uniform angular acceleration changes from 1200 rpm to 3120 rpm in 16 seconds. The angular acceleration in rad / s 2 is : (A) 104 π (B) 2 π (C) 4 π (D) 12 π

Tardigrade Admin · Accepted Answer

ω =ω0+α t α =(ω-ω0/ t ) =((3120-1200)/16 s ) rpm =(1920/16) × (2 π/60) rad / s 2 =4 π rad / s 2

Q. The angular speed of a fly wheel moving with uniform angular acceleration changes from $1200 r p m$ to $3120 r p m$ in $16$ seconds. The angular acceleration in $r a d / s^{2}$ is :

$104 π$

$2 π$

$4 π$

$12 π$

$ω = ω_{0} + α t$
$α = \frac{ω - ω _{0}}{t}$
$= \frac{( 3120 - 1200 )}{16 s} r p m$
$= \frac{1920}{16} \times \frac{2 π}{60} r a d / s^{2}$
$= 4 π r a d / s^{2}$

Q. The angular speed of a fly wheel moving with uniform angular acceleration changes from 1200rpm to 3120rpm in 16 seconds. The angular acceleration in rad/s2 is :

104π

2π

4π

12π