Question

a circular disk of radius 100 cm rolls on a smooth horizontal surface with a velocity 36 km/hr how many revolution does it make per second?

Answer 1

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Correct Answer

For an object rolling without slipping, linear translation velocity v and angular velocity of rotation ω are related as,
v = ω×R, where R is radius of the object.
 
v = 36 km/hr = 36 × (5/18) = 10 m/s
 
ω = 10×1 = 10 rad/s
 
1 revolution  = 2π rad /s
 
hence ω = 10/2π revoltions per second.


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Answer 2

HEYA !!
For an object rolling without slipping, linear translation velocity v and angular velocity of rotation ω are related as,
v = ω×R, where R is radius of the object.

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