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 :

Answer

$\omega=\omega_{0}+\alpha t$

$\alpha=\frac{\omega-\omega_{0}}{ t }$

$\,\,\,\,=\frac{(3120-1200)}{16 s } rpm$

$\,\,\,\,=\frac{1920}{16} \times \frac{2 \pi}{60} rad / s ^{2}$

$\,\,\,\,=4 \pi rad / s ^{2}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Two circular concentric loops of radii $r_1 = 20\,cm$ and $r_2 = 30\,cm$ are placed in the $X, Y-$ plane as shown in the figure. A current $I = 7\,amp$ is flowing through them. The magnetic moment of this loop system is
Two particles $P_1$ and $P_2$ are moving with velocities $v_1$ and $v_2$ respectively. Which of the statement about their relative velocity $v_{12}$ is true?
Two resistors of $10\, \Omega$ and $20\, \Omega$ and an ideal inductor of $10\, H$ are connected to a $2\, V$ battery as shown. The key $K$ is inserted at time $t = 0$. The initial $(t = 0)$ and final ($t \rightarrow \infty$ ) currents through battery are
In S.H.M. maximum acceleration is at
A thin convex lens made from crown glass $\left( {\mu = \frac{3}{2}} \right)$ has focal length $f$. When it is measured in two different liquids having refractive indices $\frac{4}{3}$ and $\frac{5}{3}$ it has the focal lengths $f_1$ and $f_2$ respectively. The correct relation between the focal lengths is:
In an experiment of determine the Young's modulus of wire of a length exactly $1\; m$, the extension in the length of the wire is measured as $0.4\,mm$ with an uncertainty of $\pm 0.02\,mm$ when a load of $1\,kg$ is applied. The diameter of the wire is measured as $0.4\,mm$ with an uncertainty of $\pm 0.01\,mm$. The error in the measurement of Young's modulus $(\Delta Y)$ is found to be $x \times 10^{10}\,Nm ^{-2}$. The value of $x$ is

$\left[\right.$ Take $\left.g =10\,m / s ^{2}\right]$

Water is filled to a height $H$ behind a dam of width $w$. The resultant force on dam is ..............
The total mechanical energy of a particle in $SHM$ is
A cylinder of fixed capacity of $44.8 \,litres$ contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of gas in the cylinder by $20.0^{\circ} C$ will be ..............  $J$(Given gas constant $R =8.3 \,JK ^{-1}- moI ^{-1}$ )
In Carnot engine the work done by working substance is equivalent to