A wheel with a 30-cm radius is rotating at a rate of 3 radians/sec. What is the linear speed of a point on its rim, in meters per minute?



Answered question


A 30-cm-diameter wheel is turning at a speed of 3 radians per second. What is the linear speed, in meters per minute, of a point on its rim?

Answer & Explanation



Skilled2021-06-15Added 91 answers

Apply the equation for the relationship between angular speed omega ωω and linear speed v: v=ωr
where r is the radius.
Substitute ω=3 radians/sec and r=30 cm:
v=(3 rad/s)(30 cm)
v=90 cm/s
Convert to m/min: v=90cms1m100cm60s1min=54mmin

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