Question

A wheel of mass 500 kg and 1 m diameter makes 500
revolutions per minute. Assuming the mass to be concentrated
along the rim, calculate the angular velocity of wheel.

Answer 1

Answer:

w=120rpm        

Considering  it  a  disc

L=Iw

=220×(412)×120×602π

=31.415kgm/s

Answer 2

The angular velocity of wheel should be considered as the 31.415kgm/s  when the mass of wheel is 500 and the diameter is 500 revolutions per minute.  

Calculation of the angular velocity of wheel:

Since  

• A wheel of mass 500 kg.
• And 1 m diameter makes 500 revolutions per minute.

So here

We know that

w = 120rpm        

And,

L = Iw

So,

= 220×(412)×120×602π

= 31.415kgm/s

hence, The angular velocity of wheel should be considered as the 31.415kgm/s.

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