First slide

Dynamics of rotational motion about fixed axis

Question

A wheel of moment of inertia 2 x 10³ kg-m² is rotating at uniform angular speed of 4 rad/s. What is the torque required to stop it in one second

Moderate

A

0.5 x 10³ Nm
B

8 x 10³ Nm
C

2x 10³ Nm
D

None of the above

Solution

$\begin{array}{l} α = \frac{dω}{dt} = (4 / 1) rad / s^{2} \\ τ = Iα = (2 \times 10^{3}) \times 4 Nm = 8 \times 10^{3} Nm \end{array}$

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