Prob-7 A mechanical speed control system works on the basis of centrifugal force, which is related to angular velocity through the formula of F = m r w², where F is force, m is the mass of rotating weights, r is the radius of rotation, and w is the angular velocity of the system. The following values are measured to determine w; r = 25±0.025 [mm]; m = 150±1.0 [g]; F= 1000 ± 0.1% [N]. Find the rotational speed in rpm an its absolute uncertainty? Sol:

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Prob-7
A mechanical speed control system works on the basis of centrifugal force, which is related to angular velocity through the formula of F = m r w²,
where F is force, m is the mass of rotating weights, r is the radius of rotation, and w is the angular velocity of the system. The following values are
measured to determine w;
r = 25 ± 0.025 [mm]; m = 150±1.0 [g]; F= 1000 ± 0.1% [N].
Find the rotational speed in rpm an its absolute uncertainty?
Sol:
Transcribed Image Text:Prob-7 A mechanical speed control system works on the basis of centrifugal force, which is related to angular velocity through the formula of F = m r w², where F is force, m is the mass of rotating weights, r is the radius of rotation, and w is the angular velocity of the system. The following values are measured to determine w; r = 25 ± 0.025 [mm]; m = 150±1.0 [g]; F= 1000 ± 0.1% [N]. Find the rotational speed in rpm an its absolute uncertainty? Sol:
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