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6. system of particles and rotational motion — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics6. system of particles and rotational motion1 Mark
MCQ
A wheel having moment of inertia $2 \,kg \cdot m ^{2}$ about its vertical axis, rotates at the rate of $60\, rpm$ about this axis. The torque which can stop the wheel's rotation in one minute would be
  • A
    $\frac{\pi}{18} Nm$
  • B
    $\frac{2 \pi}{15} Nm$
  • C
    $\frac{\pi}{12} Nm$
  • ✓
    $\frac{\pi}{15} Nm$
✓

Answer

Correct option: D.
$\frac{\pi}{15} Nm$
d
The torque which can stop the wheel's rotation in one minute is,

$\tau \times \Delta t = I \omega$

$\tau \times 60=2 \times 2 \times \frac{60 \pi}{60}$

$\tau=\frac{\pi}{15} Nm$

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