Omega Speed
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Linear Speed????
A child pedals a tricycle, giving the driving wheel an angular speed, omega, of 0.349 rev/s. If the radius of the wheel is R = 0.210 m, what is the child's linear speed?
Thanks!!
The linear velocity = radius x angular velocity
v = r ω
The 0.349 revolutions/ s is not angular speed or velocity.
The unit for ω is radian / second.
It is called angular frequency n or f
The ω and n are related by the equation ω = 2π f.
Hence the equation for v is
v = r ω = r [2π f]
v = 0.21 [2π * 0.349] = 0.46 m/s
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