A) \[\text{5}0{{\text{s}}^{-\text{2}}}\]
B) \[\text{25}{{\text{s}}^{-\text{2}}}\]
C) \[\text{12}.\text{5}{{\text{s}}^{-\text{2}}}\]
D) \[\text{6}.\text{25}{{\text{s}}^{-\text{2}}}\]
Correct Answer: C
Solution :
The mass of flywheel = 20 kg Radius = 20 cm \[=\frac{20}{100}m\] \[=\frac{1}{5}m\] The moment of inertia \[=\frac{1}{2}M{{R}^{2}}\] \[=\frac{1}{2}\times 20\times {{\left[ \frac{1}{5} \right]}^{2}}\] \[I<0.4\,kg-{{m}^{2}}\] Angular acceleration \[\alpha =\frac{\tau }{I}\] \[=\frac{FR}{I}\] \[=\frac{25\times \frac{1}{5}}{0.4}\] = 12.5 \[{{s}^{-2}}\]
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