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We are given a thin wheel of radius r as shown in the figure. The mass...

We are given a thin wheel of radius r as shown in the figure. The mass of the wheel is M and the mass of the spokes is negligible. The wheel rotates about its axis without translational motion at 2 cycles/s. What is the radian frequency of the wheel?

If this wheel is now rolling along a road at 3 m/s, then, noting that there is both rotational and translational motion in the wheel, what is its total kinetic energy?

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Answer #1

(i) Two cycle per second means 2*2π rad per sec.

That means

(ii).  

Total K. E = rotational K. E + transnational K. E

Considering wheel of mass M kg ,as ring as spokes are massless.

I= Moment of inertia =

Total K. E = 

Total K. E =

Putting

Total K. E =

=  ( v= 3 m/s)

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