17 A force of 16 N is used to rotate a circular wheel of
diameter 50 cm from rest about its axis. If there is no
friction and the angular acceleration produced is 2
rad/s2 the moment of inertia of the wheel about the
axis is:
A) 16 Kgm2
B 5Kgm2
C) 2 Kgm2
D) 8 Kgm2
E) 4Kgm2
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Answer:
4 kg m²
Explanation:
Torque = Force × Perpendicular distance
= 16 N × 0.5 m
= 8 N m
Moment of inertia = Torque / Angular acceleration
= 8 N m / (2 rad/s²)
= 4 N m s² / rad
= 4 kg m²
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