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A wheel of perimeter 220 cm rolls on a l...

A wheel of perimeter 220 cm rolls on a level road at a speed of 9 km/h. How many revolutins does the wheel make per second?

Text Solution

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As the whell rolls on the road its angular speed `omega` about the centre and the linear speed v of the centre are related as `v=omegar`.
`:. Omega=v/r=(9km/h)/(220cm/2pi)=(2pixx9xx1^5)/(220xx3600)` rad/s`
`=900/(22xx36)rev/s=25/22rev/s`
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