Answer:N=322.53 rpm
Explanation:
Given
Linear velocity (v)=1.25 m/s
Position from center is 3.7 cm
we know
[tex]v=\omega \times r[/tex]
[tex]1.25\times 100=\omega \times 3.7[/tex]
[tex]\omega =\frac{125}{3.7}=33.78[/tex]
and [tex]\frac{2\pi N}{60}=\omega[/tex]
[tex]N=\frac{\omega \times 60}{2\pi }[/tex]
[tex]N=\frac{33.78\times 60}{2\pi }[/tex]
N=322.53 rpm