A wheel having moment of inertia 4 kg m 2 about its symmetrical axis, rotates at rate of 240 rpm about it. The torque which can stop the rotation of the wheel in one minute is

Question

A wheel having moment of inertia 4 kg m 2 about its symmetrical axis, rotates at rate of 240 rpm about it. The torque which can stop the rotation of the wheel in one minute is (A) (5 π/7) Nm (B) (8 π/15) Nm (C) (2 π/9) Nm (D) (3 π/7) Nm

Tardigrade Admin · Accepted Answer

w=w0-α t α=(w0/t)=(2 π(240)/60 × 60) α=(8 π/60) rad / s 2 τ=l α =4 (8 π/60)=(8 π/15) N - m

Q. A wheel having moment of inertia $4 k g m^{2}$ about its symmetrical axis, rotates at rate of $240 r p m$ about it. The torque which can stop the rotation of the wheel in one minute is

$\frac{5 π}{7} N m$

$\frac{8 π}{15} N m$

$\frac{2 π}{9} N m$

$\frac{3 π}{7} N m$

$w = w_{0} - α t$
$α = \frac{w _{0}}{t} = \frac{2 π ( 240 )}{60 \times 60}$
$α = \frac{8 π}{60} r a d / s^{2}$
$τ = l α$
$= 4 \frac{8 π}{60} = \frac{8 π}{15} N - m$

Q. A wheel having moment of inertia 4kgm2 about its symmetrical axis, rotates at rate of 240rpm about it. The torque which can stop the rotation of the wheel in one minute is

75π​Nm

158π​Nm

92π​Nm

73π​Nm