Answer to Question #7570 in Mechanics | Relativity for brawlf
2012-03-20T09:35:34-04:00
An electric motor operates at 1800rpm. Find its angular speed in radians/seconds. What is the linear speed of a point 55mm from the axis of rotation? What is its centripetal acceleration?
1
2012-03-22T12:31:46-0400
Angular speed in radians/seconds is: ω = 1800 r/m = 1800/60 r/s = 300*2π rad/s = 600π rad/s. The linear speed of a point R=55mm from the axis of rotation is V = 600π rad/s · R = 600π·55 mm = 33000 mm/s = 330 m/s. Centripetal acceleration of a point R=55mm from the axis of rotation is ac = ω²R = (600π)² · 55 = 19800000π mm/s² = 198000π m/s².
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